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Equity Compensation (Tables)
9 Months Ended
Oct. 31, 2021
Share-based Payment Arrangement [Abstract]  
Schedule of Summary of Restricted Stock Activity
A summary of restricted stock activity for the nine months ended October 31, 2021, is as follows:
Unvested
restricted
stock units
Weighted
average grant
date fair value
per share
 (in thousands) 
Unvested restricted stock units at January 31, 20214,503.9 $191.91 
Granted1,895.0 290.63 
Vested(1,847.8)177.88 
Canceled/Forfeited(430.3)221.52 
        Performance Adjustment (1)(7.9)137.02 
Unvested restricted stock units at October 31, 2021
4,112.9 $243.72 
 _______________
(1)Based on Autodesk's financial results and relative total stockholder return for the fiscal 2021 performance period. The performance stock units were attained at rates ranging from 103.0% to 108.0% of the target award.
Schedule of Summary of the ESPP Activity
A summary of the ESPP activity for the three and nine months ended October 31, 2021 and 2020, is as follows:
Three Months Ended October 31,Nine Months Ended October 31,
2021202020212020
Issued shares (in millions)0.4 0.4 0.9 0.9 
Average price of issued shares$133.00 $122.93 $130.13 $122.73 
Weighted average grant date fair value of shares granted under the ESPP (1)$83.75 $78.26 $84.21 $55.98 
 _______________
(1)Calculated as of the award grant date using the Black-Scholes Merton (“BSM”) option pricing model.
Schedule of Stock-based Compensation Expense
The following table summarizes stock-based compensation expense for the three and nine months ended October 31, 2021 and 2020, respectively, as follows:
Three Months Ended October 31,Nine Months Ended October 31,
2021202020212020
Cost of subscription and maintenance revenue$5.5 $4.5 $18.3 $12.3 
Cost of other revenue2.3 1.6 6.5 4.7 
Marketing and sales60.0 45.4 172.8 129.5 
Research and development56.6 35.4 163.4 103.6 
General and administrative19.3 10.5 51.7 41.4 
Stock-based compensation expense related to stock awards and ESPP purchases
143.7 97.4 412.7 291.5 
Tax benefit(26.3)(2.0)(46.4)(2.3)
Stock-based compensation expense related to stock awards and ESPP purchases, net of tax
$117.4 $95.4 $366.3 $289.2 
Schedule of Assumptions to Estimate the Fair Value of Stock-based Awards Autodesk uses the following assumptions to estimate the fair value of stock-based awards:
Three Months Ended October 31, 2021Three Months Ended October 31, 2020
Performance Stock UnitsESPPPerformance Stock UnitsESPP
Range of expected volatilityN/A
29.5 - 36.6%
N/A
41.5 - 45.0%
Range of expected lives (in years)N/A
0.5- 2.0
N/A
0.5 - 2.0
Expected dividendsN/A—%N/A—%
Range of risk-free interest ratesN/A
0.1- 0.2%
N/A0.1%
 Nine Months Ended October 31, 2021Nine Months Ended October 31, 2020
 Performance Stock UnitsESPPPerformance Stock UnitsESPP
Range of expected volatilities36.9%
29.5 - 41.8%
50.7%
39.4 - 45.8%
Range of expected lives (in years)N/A
0.5 - 2.0
N/A
0.5 - 2.0
Expected dividends—%—%—%—%
Range of risk-free interest rates0.1%
0.1 - 0.2%
0.3%
0.1 - 0.5%