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Operator
Good afternoon. My name is Annie, and I will be your conference operator today. At this time, I would like to welcome everyone to the Teradata First Quarter 2021 Earnings Conference Call. (Operator Instructions)
I would like to hand the conference over to your host today, Christopher Lee, Senior Vice President, Investor Relations and Corporate Development. Thank you. Please go ahead.
Christopher T. Lee - Senior VP & Head of IR and Corporate Development
Good afternoon, and welcome to Teradata's 2021 First Quarter Earnings Call. Steve McMillan, Teradata's President and Chief Executive Officer, will lead our call today followed by Mark Culhane, Teradata's Chief Financial Officer, who will discuss our financial results.
Our discussion today includes forecasts and other information that are considered forward-looking statements. While these statements reflect our current outlook, they are subject to a number of risks and uncertainties that could cause actual results to differ materially. These risk factors are described in today's earnings release and in our SEC filings, including our most recent 10-K, and in the Form 10-Q for the quarter ended March 31, 2021, and is expected to be filed with the SEC tomorrow. These forward-looking statements are made as of today, and we undertake no duty or obligation to update our forward-looking statements.
On today's call, we will be discussing certain non-GAAP financial measures, which exclude such items as stock-based compensation expense, and other special items described in our earnings release. We will also discuss other non-GAAP items such as free cash flow and constant currency revenue comparisons. A reconciliation of non-GAAP to GAAP measures is included in our earnings release, which is accessible on the Investor Relations page of our website at investor.teradata.com. A replay of this conference call will be available later today on our website.
And now I will turn the call over to Steve.
Stephen McMillan - President, CEO & Director
Good afternoon, everyone, and thanks for joining us today. Teradata is off to a very good start in fiscal 2021. We had solid growth in revenue and free cash flow, and we exceeded our quarterly outlook on public cloud ARR growth and both GAAP and non-GAAP EPS. We also that we issued a release on April 21 at pre-announcing our first quarter 2021 results as our quarterly EPS performance was higher than the guidance issued during our fourth quarter 2020 earnings call.
We saw significantly higher EPS resulting from strong performance in revenue and gross margin as well as continued solid expense discipline. With our customer base among the world's largest enterprises and with large transactions, we can have nonlinear quarters, which is finally encouraging to focus on our full year outlook and results rather than quarterly. During his remarks, Mark will explain in more detail.
Now on to the quarter. Teradata grew in all 3 geographic regions. Growth was driven by large cloud and subscription deals from customers making meaningful commitments to Teradata adding to or expanding the workloads on Vantage. We also executed higher-margin consulting projects and a small, but growing contribution from new customers and partners. Our focus on profitable growth is as strong as ever, and we generated more profit dollars both year-over-year and sequentially. We are resolute and dedicated to keep that momentum going and are building upon our solid fundamentals to energize growth.
In Q1, we continued to advance our cloud transformation. Tightening the aperture on the strategy and growing cloud momentum with customers, prospects and partners by reinforcing our cultural ethos of inclusion and accountability. We confirmed our market strength and differentiation for Teradata Vantage, our connected multi-cloud data platform for enterprise analytics.
Teradata holds a significant position in a large, important and growing market. As enterprises continue their digital transformation the opportunity in cloud is significant, and we are moving with speed and purpose to accelerate our positioning. Teradata's capabilities in delivering outcomes across multi-cloud and hybrid environments, providing flexibility and lowering risk for the world's leading companies is being recognized with our customers and the industry. As a connected data platform, Vantage brings an integrated set of capabilities with open extensibility, enabling partnerships with cloud service providers, systems integrators and independent software vendors.
Our heritage is an enterprise analytics with unparalleled scale to cost effectively address business challenges with governance and security for the largest companies in the world. And our technology differentiation supports these large enterprises and the complex mixed workloads containing strategic and operational, traditional and advanced analytics as we help customers drive business outcomes. Our Q1 results demonstrate that our strategy is the right one and it is resonating with current and prospective customers.
With 176% year-over-year growth in public cloud ARR during the first quarter, customer engagement and acceptance continues to grow and become more evident. Customers are recognizing that our Vantage cloud platform is a great fit for their needs and delivers business value from enterprise analytics in today's connected multi-cloud world. Vantage offers that the deployment flexibility we need. Vantage software is consistent across all environments, whether multi-cloud, public cloud or on-prem, supporting fast, easy and low-risk migrations to the cloud.
Our flexible cloud pricing options are also strongly resonating with customers. Introduced just 2 quarters ago, customers like having choice in selecting a more predictable blended pricing or our usage-based pay-as-you-go option. The unmatched power and scale in our Vantage platform, combined with deployment flexibility and the pricing options we offer, are all contributing to our public cloud ARR growth.
Let's walk through a representative sample of our Vantage cloud wins. The team is winning cloud business in all regions and with all of the leading cloud service providers, a tangible demonstration of the strength in our strategy and multi-cloud data platform, a worldwide coating retailer is migrating its on-prem environment to Vantage on Azure. Our customer utilizes Vantage for sales and inventory analytics and reporting. The move to Vantage on Azure allows for incremental and flexible growth needed to support more users and additional customer data, driving enhanced insights into buying behavior that will result in more targeted offers.
Teradata's blended pricing model enables this customer to cost effectively move away from the confines of on-prem architecture and easily scale compute and storage as needed. This customer also considers Snowflake and Azure Synapse analytics, but ultimately chose to migrate with Teradata and take advantage of the capabilities in Vantage-as-a-service, including support for native objects store, new languages like Python and R, new tools, like Jupyter and RStudio and advanced analytics and machine learning and graph engines as well.
SiriusXM, the leading audio entertainment company in North America with more than 150 million listeners is migrating to Vantage on AWS as it modernizes its data and analytics ecosystem. SiriusXM is committed to [digital] innovation using technology to understand listeners and drive more personalized communications. Having to join AWS will serve a mission-critical foundational component to the customer's hybrid, best-of-breed analytics ecosystem, supporting increasing users, more sophisticated analytics and an ever-growing amount of data.
Key to his decision to migrate to the cloud is the ability of Vantage to utilize low-cost data storage offered with its native object store. SiriusXM considered other cloud-native solutions, but determined it wants a multi-cloud environment and Teradata offered the flexibility and support to deploy across multiple public cloud platforms. An American-based global health services company is migrating to Vantage on AWS for analytics and data science. Working with Accenture, Teradata won this deal over competition from Snowflake and Amazon Redshift.
The Vantage on AWS environment will serve as the foundation for the customer to create a data superset that will enable innovation to improve patient health and lower health care costs to drive win-win growth. One of Europe's leading mail and package delivery companies is migrating its on-prem environment to Vantage on Google Cloud. Vantage serves as the platform for critical analytics use cases that support the company's strategic initiatives to drive an increase in its domestic parcel business. We partnered with Accenture and executed a successful proof of concept against cloud-native offerings.
Together, our teams were able to demonstrate to the customer the flexibility and scalability of Vantage on Google Cloud. One of the world's largest auto manufacturers headquartered in Asia Pacific has a strategic plan to enable data analytics at scale. This global manufacturer has added to its vantage platform on AWS to accommodate the increased volume of IoT data and additional queries coming from business users. Insights from connected car data will drive product innovations and operational improvements in research and development.
With this expansion, the environment has become one of our largest cloud customers in APJ. As we accelerate our cloud momentum, we are adding strong cloud leadership to the team. We recently appointed Barry Russell, as General Manager of Quote and SVP of Business Development. Barry brings expanding credentials and driving cloud transformations and has successfully navigated through change initiatives similar to ours. Barry is working across all the organizations in the company, unifying their efforts on our cloud growth strategies to scale our cloud business. He's also building out our partnerships and driving stronger collaboration with leading cloud service providers.
Along with the growth we see in public cloud, we also continue to have strong on-prem and private cloud business. Hybrid capabilities are extremely important to our customers as they move along their digital transformation journey. We see customers making meaningful long-term commitments to Teradata and investing in their on-prem and private cloud environments as we continue along the transition continuum to public cloud.
These significant investments come as a result of receiving tangible and ongoing business value from Teradata and mutually beneficial business relationships. For example, 1 of the top 5 wireless carriers in the U.S. expanded its Teradata environment to support the integration of a number of new business units. This customer is running over 7 million analytical queries, and upwards of 20 million total queries per day to support 80 business applications critical to running its operations.
The customer needed the scale and complex workload management that we uniquely provide to support its high growth. And our go-to-market transformation, we have added very capable and experienced leaders to augment our cloud-first sales momentum and drive consistent value-based customer success. These senior level appointments include sales leaders in both the EMEA and Americas regions, a worldwide GTM strategy and operations head and a new global leader of alliances, each bringing a great deal of cloud experience to rapidly move us forward.
We're also going wide and deep in adding cloud sale experience to our selling teams. Our total TTM head count or selling capacity is growing sequentially. And we are seeing our cloud pipeline up a very strong double-digit percentage in our core key verticals as we have been addressing perceptions, increasing prospecting and reinforcing strong customer relationships based on delivering lasting value.
Our GTM leadership has also kept its attention on tuning our consulting organization to contribute very specifically to our efforts in increasing cloud ARR. We are building partnerships that will extend our reach in our GTM efforts. In all regions, we are growing collaboration with cloud service providers and are creating joint go-to-market initiatives. We are seeing increasing momentum with global sections integrators, guiding customers in their digital transformation journeys and help them migrate Teradata on-prem environments to Teradata and cloud.
And in emerging markets such as in APJ, we are increasingly working with distributors to help us scale more rapidly. In the quarter, we furthered our open partnering approach and announced alliances with core industry verticals that have needs for cloud-based data analytics. Let me mention a couple. We jointly announced new offerings with GE Aviation that we believe will help airlines improve passenger experience and revenue growth. This partnership illustrates how integrating multiple data types helps organizations enable greater analytics ability. We recently announced a partnership with Intuit AI together, we will deploy the latest AI innovation to help retailers and consumer packaged goods companies optimize decision-making for demand planning, assortment, allocation and pricing.
We also joined the open manufacturing platform where we will be working with other leading manufacturers to drive innovation in industrial IoT and manufacturing and automotive industry 4.0 solutions through cloud-based data analytics. Along with stronger partnerships, our technology innovation engine is going strong. A large airline modernized its data architecture by leveraging object stores as it turned to the cloud. With Vantage's native objects store feature and accelerated business insights by seamlessly joining data between the Vantage cloud data warehouse and the same structured data on object stores on demand.
Along with AWS, Google Cloud and Azure, we verified compatibility with 7 private cloud S3-compatible object storage technologies. Our support for cloud-native integrations was fathered as we enable our customers to securely collaborate with our consumers and partners, sharing and leveraging data across organizations to augment their analytics. With Vantage, users can now publish data to and subscribe data from cloud-native data marketplaces like AWS data exchange and Azure data share.
Demonstrating the strength of our technology, garnered industry recognition in the quarter, Teradata was again named a leader. This time, Forrester named us a market leader in cloud data warehouse. In this ranking, we are solidly positioned as a leader, along with 3 major cloud service provider platforms. This endorsement validates that Teradata is a top choice for those that need a multi-cloud data warehouse platform for their enterprise analytics.
The strength of our company is in our people and to build a continuously strong and vibrant organization, our focus on diversity, equity and inclusion, or DE&I, is rolling into all that we do. We know that we are a stronger organization when we embrace the E&I that enables transparency, belonging and opportunity, all contributing to business practices that drive consistent profitable growth.
Last year, we committed to and met our goal of ensuring a diverse slate of candidates for all director and above those issues, and we remain committed to working to eliminate unconscious bias throughout our hiring processes. Within our senior leadership ranks, in the last 2 quarters, 60% of our appointments were diverse, including 40% female. DE&I having ongoing prioritized focus for us, and we are dedicated to actively and systemically ensuring we are driving a culture that values inclusion and supports diversity and equity of all forms.
Also, in the environmental, social and governance arena, we are pleased to again be named one of the 2021 World's Most Ethical Companies by Ethisphere. Operating with integrity at our core has always been our ethos, and we remain committed to doing business the right way. We are honored to be recognized for the 12th consecutive year with this meaningful designation. Throughout our transformation, we are reimagining Teradata into a more modern and relevant technology company.
As we grow, we are designing a more modern future of work environment, with greater flexibility for our people and greater agility for the company with more hybrid work arrangements. And as the world looks ahead to emerge from the bill of the COVID-19 pandemic, we're beginning a carefully phased reopening of our offices worldwide. Unsurprisingly, we are using data and analytics to guide us to return in our location only if will be safe for our employees, in line with all local government and health advice.
In every situation, we put our employees' health and well-being first. Our teams demonstrated great resilience throughout the past year, collaborating across changing work environments and remaining accountable to our customers and to each other. This resilience set us up to thrive despite the challenges of the pandemic. A year ago tomorrow, I was honored to be named as Teradata's next CEO and my passion for this company and what we do has grown immensely.
I am very proud to work with the best talented team of professionals who are committed to the power of data to transform how businesses work and people live and are obsessed with the success of our customers. I'm even more proud of this team's unequivocal pivot to the cloud. Our results, customer validation and industry recognition are testimony to the focus and dedication to drive lasting business value for our customers and shareholders.
As I hand the call to Mark to discuss our financial performance in more detail, our Q1 results were another step in our strategy to win in the cloud and achieve annual profitable growth. We are firm our fiscal 2021 annual ARR and revenue outlook and raised our fiscal 2021 outlook for EPS and free cash flow. Over to you, Mark.
Mark A. Culhane - CFO
Thank you, Steve, and good afternoon, everyone. Before I discuss our Q1 operating results, I want to indicate that unless stated otherwise, my comments today reflect Teradata's results on a non-GAAP basis, which excludes items such as stock-based compensation expense and other special items identified in our earnings release. Additional commentary on key metrics and segment trends can be found in the earnings discussion document on our Investor Relations web page at investor.teradata.com.
I also want to remind everyone of the financial reporting change that we made for 2021 and announced on our prior earnings call, since it appears that some street models use numbers not reflective of the reporting change. To reiterate, beginning in fiscal 2021, we reclassified managed services-related ARR and revenue from recurring revenue and into nonrecurring consulting revenue. And we reclassified third-party software-related ARR and revenue out of recurring revenue and into nonrecurring perpetual revenue.
Accordingly, the year-over-year comparisons that I will cite in my comments are based on the reclassified amounts for the first quarter of 2020. And the full year 2021 outlook that I provided on our prior earnings call is based on a comparison to the reclassified amounts for the full year 2020. For more information on those reclassified numbers, please refer to our earnings discussion document for the fourth quarter of fiscal 2020 on our Investor Relations page at investor.teradata.com.
Let's move on to the results for the quarter. We are off to a very solid start to the fiscal year as Teradata exceeded the quarterly outlook we provided for public cloud ARR as well as GAAP EPS and non-GAAP EPS. The company exceeded the outlook we provided due to solid execution by our go-to-market team, strong product market fit for our customers. Our team's continued focus on profitable growth and a strong focus on cash flow. We preannounced our preliminary results 2 weeks ago, once it became evident that we would materially exceed our first quarter expectations in GAAP EPS and non-GAAP EPS. As Steve noted, we released this information during our normal quiet period, and we could only provide limited context as we had not completed our full analysis of results at that time.
I will go through the drivers of the quarter. But before I do, I want to remind everyone that Teradata engages in large transactions with large enterprise customers. We provided an annual outlook for fiscal 2021 ARR and revenue versus quarterly forecast because of the reasons explained during our Q4 2020 earnings call that can create more variability in our quarterly results and make quarterly forecasts more difficult.
Let's start with ARR. Public cloud ARR grew sequentially by over $18 million, ending the quarter at $124 million as reported, or 176% growth year-over-year. We exceeded our outlook of 165% growth year-over-year due to continued natural momentum of our Vantage multi-cloud platform. We continue to see customer demand for Vantage across all 3 leading public clouds. While to date, we have mostly been focused on our existing customers, we are encouraged by the potential new customer activity we see in the cloud pipeline as we move forward into the future with our new efforts on customer acquisition.
Importantly, we are also very pleased to see continued good organic growth by our annual cloud customer cohorts, especially from those customers who moved to the cloud with Teradata during the first quarter where we saw strong double-digit growth during the quarter. Expansion rates continue to be very healthy. We are very pleased by the value our customers see for Vantage in the cloud, which gives us confidence to reaffirm our outlook for fiscal 2021 public cloud ARR year-over-year growth to be at least 100%.
Total ARR increased to $1.404 billion at March 31, 2021, from $1.254 billion at March 31, 2020. Total ARR grew 12% year-over-year as reported. On a sequential basis, total ARR was down 1% as reported and flat in constant currency, given very strong FX headwinds. Consistent with prior years, our first quarter ARR sequentially declined as it is our seasonal low point for ARR, and the fourth quarter is our seasonal high for ARR. As such, we continue to see and expect growth in subscription and public cloud ARR during 2021, and we reaffirm our full year 2021 total ARR year-over-year growth of mid- to high single-digit percentage.
Turning to revenue. We had strong performance in all revenue categories, which increased total revenue to $491 million as reported from $434 million, an increase of 13% year-over-year and 10% in constant currency. As a reminder, this is our first quarter reporting with our new revenue classifications, which has no impact on total revenues, but has the net impact of moving certain revenues out of recurring revenues into perpetual and consulting revenues. I'll refer you to this quarter's supplemental financial schedules and our prior quarter's earnings discussion document for proper comparisons to prior reporting periods on the Investor Relations website at investor.teradata.com.
Recurring revenue, as reported, increased to $372 million from $311 million, a 20% increase year-over-year and a 17% increase in constant currency. There were 2 key drivers for this increase. First, we had a very strong Q4 2020 AR growth. Both public cloud and subscription, which contributed to the foundation for the strong year-over-year increase in recurring revenue. And second, as I mentioned in our fourth quarter earnings call, we expected that given our high-end enterprise customer base, we may see many of our existing customers operate Vantage on-premises as well as in the cloud, and that may change the revenue recognition for some existing on-premises contracts to a different ratable recognition period other than quarterly.
We experienced a few significant transactions, principally driven by 2 significant renewals. One from a major health services company and another from a major telco company, where these customers made substantial commitments to Teradata and extended and expanded their arrangements with us, not only on-premises, but also added the ability to use Vantage in the cloud. Ultimately, the terms of these arrangements resulted in components of on-premise software recurring revenue being recognized on a recurring annual basis rather than on a recurring quarterly basis under U.S. Generally Accepted Accounting Principles.
We have not changed our accounting policies. These few significant transactions resulted in approximately $24 million of 2021 recurring revenue recognized in the first quarter rather than ratably across each of the 4 quarters of 2021. This will not impact the full year 2021 recurring revenue associated with these transactions. Only the timing of recognition within 2021 was impacted. There will not be any impact to fiscal 2022 and beyond revenue.
We plan to see the same amount of recurring revenue in the first quarter each year in the future during the multiyear term of these contracts. The variability in recurring revenue caused by these types of arrangements is a significant reason why we stated in our prior earnings call, we were not providing quarterly recurring or total revenue outlooks, but rather encourage you to focus on our annual outlook. The overall economics of these transactions have not changed, only the timing of recognition of recurring revenue.
And importantly, these few transactions are not included and did not impact the 176% year-over-year growth in public cloud ARR we reported this quarter. Turning to perpetual and consulting revenue. Perpetual revenue of $23 million, as reported, showed flat growth year-over-year, but was ahead of the outlook comments we provided at the beginning of the year. While we are not emphasizing perpetual in our go-to-market model, perpetual revenue performed better than we anticipated due primarily to deal mix in EMEA and third-party software products.
Consulting revenue, as reported, decreased to $96 million from $100 million, a 4% decrease year-over-year. As we noted in our outlook comments last quarter, we anticipated consulting revenue to decline by 15% year-over-year in the first quarter of 2021 and to gradually improve throughout fiscal 2021. Our first quarter performance was well ahead of that trajectory as we saw better execution of engagements around the world from both direct engagement with customers and joint engagement with partners. That resulted in increased revenue in the quarter.
Turning to gross profit. Q1 gross margin was 64.2%, approximately 10 percentage points greater than last year's period and approximately 5 percentage points greater than last quarter. We generated $315 million in gross profit dollars, which is $80 million higher than the same period last year and $24 million better than last quarter despite our total revenues being unchanged sequentially. The primary reasons were: first, we had a higher amount of recurring revenue and an improved gross margin rate, driven by greater subscription and more cloud efficiencies versus prior year; second, gross profit dollars benefited directly from the recurring revenue recognized annually in the quarter that I mentioned previously; and third, perpetual gross profit dollars were higher-than-anticipated, driven by both perpetual revenue and gross margin rate higher than anticipated, driven by deal mix. And last, consulting margin was higher than anticipated, driven by more profitable revenue mix.
Turning to operating expenses. Total operating expenses were down 1% year-over-year and 11% sequentially. This is due primarily to a lower cost base beginning fiscal 2021, spending less in discretionary SG&A year-over-year, less sales commission expense in Q1 2021 when compared to our traditionally high bookings in Q4 2020, and a focus on efficient operational execution. As a reminder, we undertook some cost actions in Q3 2020 to drive operational efficiencies that funded reinvestment in our strategic cloud initiatives.
Turning to earnings per share. Earnings per share of $0.69 significantly exceeded our outlook range of $0.38 to $0.40 provided last quarter, by $0.30 when using the midpoint. To provide some context for the main drivers of this $0.30 differential, approximately $0.16 is attributable to the few transactions where recurring revenue was recognized on an annual basis in the first quarter instead of on a quarterly basis throughout full year 2021. This has no impact on full year 2021 EPS.
The remaining $0.14 was driven by the following and will impact full year 2021 EPS: the higher-than-expected perpetual revenue and related higher gross margins; higher-than-expected consulting revenue and related higher gross margins; and better recurring revenue growth and operational efficiencies.
Turning to free cash flow. We had an excellent quarter of free cash flow generation, driven by strong cash collections, higher operating margin and other favorable working capital dynamics. Free cash flow in the quarter was $105 million, well ahead of the pace needed to achieve the annual free cash flow outlook of at least $250 million we provided at the beginning of the year. As an update to cash payments related to our Q3 2020 cost actions, we previously expected to make total cash payments of approximately $42 million during fiscal 2021, and that $27 million was to be paid in the first quarter of fiscal 2021.
We now expect total cash payments in fiscal 2021 of $36 million. We paid $18 million during the first quarter of fiscal 2021 and the remaining $18 million is expected to be paid during the remainder of fiscal 2021, about $14 million of the remaining $18 million is expected to be paid in the second quarter. Turning to stock buyback. We bought back 2.6 million shares at an average price of $32.94 or $85 million in total as we take advantage of our strong balance sheet to buy back stock and offset dilution for shares issued this year.
Turning to our outlook. As a reminder, the outlook we are providing is based on the financial reporting change that we made for 2021 and announced on our prior earnings call. To reiterate, beginning in fiscal 2021, we reclassified managed services-related ARR and revenue from recurring revenue and into nonrecurring consulting revenue and reclassified third-party software-related ARR and revenue out of recurring revenue and into nonrecurring perpetual revenue.
Accordingly, the year-over-year comparisons that I will cite in my comments for the second quarter and full year 2021 outlook is based on a comparison to the reclassified amounts for the full year and second quarter 2020. For more information in those reclassified numbers, please refer to our earnings discussion document for the fourth quarter of fiscal 2020 on our Investor Relations web page at investor.teradata.com.
For the full year, we are reaffirming our fiscal 2021 outlook for ARR and revenue. Public cloud ARR is expected to grow at least 100% year-over-year from $106 million at December 31, 2020. Total ARR is anticipated to grow in the mid- to high single-digit percentage range year-over-year from the restated balance of $1.425 billion at December 31, 2020. Total recurring revenue is expected to grow in the mid- to high single-digit percentage range year-over-year from the restated balance of $1.309 billion for the year ending December 31, 2020. Total revenue is anticipated to grow in the low single-digit percentage range year-over-year from the $1.836 billion for the year ended December 31, 2020.
We are raising our full year fiscal 2021 non-GAAP EPS and free cash flow outlook. Non-GAAP earnings per diluted share are expected to be in the range of $1.61 to $1.67, which at the new midpoint of $1.64, is a $0.10 increase from the midpoint of the range previously provided.
As I mentioned in my comments regarding first quarter 2021 results, $0.14 is flowing through to the full year, but is offset by $0.06 of higher tax rate and weighted average diluted shares outstanding. We are raising our full year EPS outlook further by $0.02 at the midpoint. Free cash flow for the year is expected to be in the range of $275 million to $300 million, which is an increase from the prior outlook of at least $250 million.
We expect to continue to be opportunistic in share buybacks and have approximately $352 million of share repurchase authorization at March 31, 2021. Similar to last quarter, we wanted to provide you with a few markers to assist you with your modeling of the second quarter of 2021. We anticipate Q2 recurring revenue to be slightly down to Q1. Q2 consulting revenue to be roughly flat to Q1 and Q2 perpetual revenue to decline by about 1/3 from the Q1 2021 amount.
We anticipate Q2 gross margins to be up approximately 40 to 50 basis points from the comparable quarter in the prior year and Q2 operating margins to be up approximately 250 basis points from the comparable quarter in the prior year. We now expect the full year tax rate to be approximately 24% to 25%. And given the rise in our stock price and its impact in calculating fully diluted weighted average shares outstanding for EPS purposes, we now assume about 114 million fully diluted weighted average shares outstanding for both the full year and the second quarter.
With that, the outlook for the second quarter for 2021 is as follows: public cloud ARR is expected to grow at least 155% year-over-year or in the range of $15 million to $20 million sequentially; non-GAAP earnings per diluted share to be in the range of $0.47 to $0.49.
And with that, operator, we are ready to take questions.
Operator
(Operator Instructions) Your first question comes from the line of Katy Huberty from Morgan Stanley.
Kathryn Lynn Huberty - MD and Research Analyst
Mark, can you talk about whether there is a pipeline of additional deals that would cause you to recognize revenue on an annual versus a quarterly basis like what happened in the March quarter? And if so, if there's any in the pipeline, what are you assuming in terms of conversion of those in your guidance?
Mark A. Culhane - CFO
Yes. Great. Thanks, Katy. Right now, we see a few deals like this in Q2. We don't have line -- I don't have line of sight in the pipeline as to what deals in Q3 or 4 could go that way. And we'll have to wait to see what happens in Q2. But I do expect we'll see a bit of it given we're seeing strong interest from our existing customers wanting to operate Vantage on-premises as well as in the cloud. So I'm expecting some impact in Q2, but nothing in my guidance is reflected in Q3 or 4 at this stage.
Kathryn Lynn Huberty - MD and Research Analyst
Okay. And so the 0in your guidance, you assume that some of those convert and you get an annual revenue recognition? And then can you just provide a little bit more detail because I'm not as familiar with the accounting treatment of what is the element or characteristic of these deals that are causing you to recognize the revenue annually instead of quarterly? And can you just talk about whether in the past, there were deals like this that were recognized differently? Or what has changed?
Mark A. Culhane - CFO
So under revenue new recognition rules, there are a variety of factors that can result in other than ratable recognition quarterly, whether it goes to in the on-prem world, what is the right to use the software, what is the committed amount of consumption that's involved with that, is there hardware involved because hardware can fall outside of the software revenue recognition. They go under a standard called 842.
So for us, it was certainly on-premise software elements that drove some of this annual recognition. Not all software components, but it's -- a certain portion of components because of somewhat of the interaction of what are they going to use on-prem versus what do they want to use in the cloud, and how does that impact what's committed to be used and so forth?
And so depending on how those nuances play out, you certainly can get revenue recognized on something other than ratable, and that's how a couple of these fuel of these deals, particularly these 2 big renewals came down. So that's what drove it. Given we're focused on -- we're talking to all of our existing customers because given our strength in our cloud cohort and momentum we see there, it behooves us to get our customers to the cloud as quickly as possible, but we know they're going to want to operate both Vantage on-prem as well as in the cloud. And just depending on how that plays out, I said on our Q4 call, could drive some revenue recognition things. And obviously, we experienced a few of those in Q1.
Kathryn Lynn Huberty - MD and Research Analyst
And is this the first time that you've had revenue recognition of deals like this?
Mark A. Culhane - CFO
Yes. Yes. We haven't rarely had anything other than ratable in the past. Other than perpetual, but these -- this isn't -- it has nothing to do with perpetual.
Operator
Your next question comes from the line of Wamsi Mohan from Bank of America.
Wamsi Mohan - Director
I have one for Mark and then one for Steve. Mark, I got all the adjustments that you spoke about, so even if you take out the $0.16 because of the timing of the transactions. You're roughly at $1 in earnings in the first half. But if I look historically, in second half versus first half, even taking into account some of the headwinds that you mentioned from share count and taxes, it seems like the second half is much more sub-seasonal than what you have done historically. So any color you could share? Is this EPS also reflective of revenues? Or is there something else that I'm missing in that bridge? And then I have a follow-up for Steve.
Mark A. Culhane - CFO
Yes. So no, Wamsi, you're right. So right now, given the annual recognition that flowed into Q1 out of the remaining quarters, I mean, not across Q1 to Q4. So revenue is not happening on these deals in Q2, 3 and 4. I don't have line of sight today in the pipeline as to what deals might go a certain direction that could drive revenue higher in those quarters to make up for the revenue that isn't going to naturally be recognized in Q3 and 4 because it was recognized in Q1.
And we may see a bit more, as I mentioned on -- to answer Katy's question in Q2, which right now, I'm not modeling in impacts of additional things that can happen in Q3 and 4. So it's a conservative estimate on Q3 and 4 in terms of revenue and obviously, the EPS impact that I suspect depending on how the rest of the year plays out, we could see that -- those coming up. But I'm not trying to model that in at this stage because I just don't have the visibility.
Wamsi Mohan - Director
Okay. All right. And Steve, you had $18 million in incremental sequential public cloud ARR. You're guiding roughly in the same range. I would have thought that you would have been able to drive a little bit of acceleration that you have a little bit more resources dedicated to this. Maybe can you share some thoughts around what you're seeing in the pipeline. I also today, I heard you mentioned new logos maybe starting to show up in the pipeline, when those can start to create an incremental tailwind?
Stephen McMillan - President, CEO & Director
Yes, Wamsi. We are really confident in the annual guidance that we've issued of at least 100% growth year-over-year. We've got real confidence in that because we're seeing existing customers' demand for Teradata in the cloud and have an interoperability between the environments and the new use cases that we're seeing. I mentioned some of them in the prepared remarks, in terms of IoT data, data that's in NOS on some of the public cloud environments, really opening up new ways to use Teradata Vantage as well as really thinking about Vantage as a platform that's extensible.
So we're really confident in the capabilities that Vantage is providing. We are conservative in our guidance based on the timing of our deals. We're working with our customers in terms of what their cloud strategies are and how they want to use Teradata in the cloud, but still got a really strong on-prem business. The cloud business that we're working with our customers on is extending their capabilities and modernizing their data architectures and creating a complete data fabric in a multi-cloud environment. So conservative for our annual guidance, but we're solid on 100% year-on-year growth.
Operator
Your next question comes from the line of Tyler Radke from Citi.
Tyler Maverick Radke - VP & Senior Analyst
My question for, I think, Mark, just looking at Q1 ARR that was flat sequentially on a constant currency basis. I think that's comparable to what you did in Q1 last year. Obviously, last year was a challenging year with COVID. But I felt like you saw kind of much-stronger-than-normal activity in Q1. I mean, Steve referenced several customers moving to the cloud. It sounded like a lot of lot of good momentum.
So I guess, just curious, given all that momentum and the strength that you did see in cloud ARR sequentially, like what kind of drove just the sequentially flat ARR performance? Was it kind of mix shift away from hardware, just kind of customers procuring a software-only product? Just help me understand maybe why that didn't grow sequentially and was kind of in line with last year on a quarter where you seemingly saw a lot more activity?
Mark A. Culhane - CFO
Yes. So thanks, Tyler. If you look back even in my tenure, we've had it be flat to slightly down in Q1 beyond, not just 2021, but years prior as well. Clearly, a big headwind from a sequential was FX. so that was a huge impact this quarter. So that was part of it. Second is just Q1 tends to be the lowest bookings quarter and Q4 is the largest. And so it's kind of a seasonal thing.
That's why we've always said we do large transactions that can fall at sort of any time, and I tend to look at what's going on, on an annual basis, not a quarterly basis, whether it's not what we wanted or was way over. I said, "Well, we got to -- you got to really balance it across the full year."
So we're excited about what we're seeing in the cloud. Clearly, we have good cloud momentum. We're excited about the interest we're seeing and the change in perception we're starting to feel in the marketplace as customers are -- and our prospects are clearly taking a different view of us. That gives us a lot of confidence in why we reiterated our full year of ARR growth. So I don't think there's -- other than FX in Q1, that was really the big driver of the flat -- the constant currency -- flat on a constant currency basis.
Tyler Maverick Radke - VP & Senior Analyst
Great. And a follow-up for Steve. Maybe we could talk about your win rates and just overall positioning in the cloud. It seemed like you rattled off a lot of wins and some of them for Snowflake, but how do you feel like your win rates are trending? And then were there any deals that maybe you hadn't forecasted or thought you had lost that perhaps came your way at the end?
Stephen McMillan - President, CEO & Director
Yes. Tyler, we're seeing really great interest. In the examples I gave, we had wins in retail, entertainment, health care, distribution, manufacturing, so we're really happy with how we are taking our message to our customers. The other thing that's working well is the type of -- or consumption-based pricing models is generating some real interest in their customers.
They see the benefit of having a blended pricing model. And as we are really improving the perception of Vantage as a service in the cloud and the fact that Teradata in the cloud can give a highly performing offering and be a really easy and low-risk way to migrate from on-prem into the cloud. That's given us a real competitive advantage that is causing our customers to think about using Teradata in the cloud and having that multi-cloud capability and a data fabric that spans across both on-prem and into these public cloud environments.
Operator
We have our next question from the line of Matt Hedberg.
Anushtha Mittal - Associate
This is Anushtha from Matt Hedberg team. Can you hear me all right?
Stephen McMillan - President, CEO & Director
Yes.
Anushtha Mittal - Associate
Great. Could you talk about what you're seeing specifically as it relates to the COVID-impacted industries now that vaccines are in sight? I see that consulting was better-than-expected this quarter. Would you say it was partly a function of the reopening and recovery in these industries?
Stephen McMillan - President, CEO & Director
Yes. I'll take that question. Yes, I think like most technology companies, we are seeing an uptick in the digital transformation programs and projects that organizations are executing. You heard in my prepared remarks that we're seeing projects with some of the airline companies coming back online, both in terms of them wanting to improve their operational effective and efficiency making sure that they are using the right technologies to enable their future transformations.
So we're very excited about that. The retail environment, we believe, is starting to pick up, and we're seeing some of the retailers really invest. And then we're also seeing some of the organizations like package delivery organizations that benefited from COVID, carrying on with a really strong investment cycle the -- what I mentioned in the European theater, on Google Cloud was to really help bolster their digital transformation and move to the cloud. So it's an exciting thing. It's going to be a really great year, we think.
Operator
Your next question comes from the line of Derrick Wood from Cowen.
James Derrick Wood - MD & Senior Software Analyst
First one, Steve, you named a number of customers migrating from on-prem cloud. Is there -- what's most common, moving a small portion of workloads or a big portion or all the workloads to the cloud? And then if the customer starts a cloud migration, how long does that typically take? And how do you kind of help your customer migrate without having to double pay?
Stephen McMillan - President, CEO & Director
Yes. So we are seeing a mix, Derrick, in terms of customers that are moving there -- they want to move their whole system onto the cloud. And customers that are moving certain workloads. We continue to invest in our on-prem capabilities as well. So one of the things I talked about was having access to native object stores on-prem. And as we look at Teradata as a platform, you've got a number of ways to actually deploy that.
You can keep data in NOS on-prem and then Teradata systems anywhere can access that. And then another use case is having AWS, Teradata instance that can use premium grade to connect back to on-prem Teradata that's gotten also on-prem. And so if you think about building that [fab] rates, it gives our customers an immense choice in terms of how they migrate workloads to the cloud.
And obviously, if we are providing that software capability, both on-prem and in the cloud, we have a real competitive advantage to help the customer with that double bubble costs of that migration. So we think that's a super competitive advantage for Teradata.
Operator
There are no further questions at this time. I will now turn the call back over to Steve McMillan for his final remarks. Sir?
Stephen McMillan - President, CEO & Director
Thank you, and thank you, everyone, for joining us today. We're off to a really great start to 2021, and we're remaining absolutely focused on profitable growth.
We're dedicated to delivering that value to all of our stakeholders, especially our customers, shareholders and employees. I'm looking forward to a great 2021. Thank you all.
Operator
This concludes today's conference call. You may now disconnect.