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Equity Compensation (Tables)
3 Months Ended
Apr. 30, 2021
Share-based Payment Arrangement [Abstract]  
Schedule of Summary of Restricted Stock Activity
A summary of restricted stock activity for the three months ended April 30, 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 
Granted1,582.8 292.20 
Vested(558.4)161.69 
Canceled/Forfeited(112.6)198.93 
        Performance Adjustment (1)(7.9)137.02 
Unvested restricted stock units at April 30, 20215,407.8 $226.12 
 _______________
(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 months ended April 30, 2021 and 2020, is as follows:
Three Months Ended April 30,
20212020
Issued shares (in millions)0.5 0.5 
Average price of issued shares$128.02 $122.54 
Weighted average grant date fair value of shares granted under the ESPP (1)$91.17 $45.70 
 _______________
(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 months ended April 30, 2021 and 2020, respectively, as follows:
Three Months Ended April 30,
20212020
Cost of subscription and maintenance revenue$5.3 $3.7 
Cost of other revenue1.8 1.5 
Marketing and sales48.3 40.7 
Research and development46.7 32.9 
General and administrative13.7 19.4 
Stock-based compensation expense related to stock awards and ESPP purchases
115.8 98.2 
Tax benefit(16.0)(0.1)
Stock-based compensation expense related to stock awards and ESPP purchases, net of tax
$99.8 $98.1 
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 April 30, 2021Three Months Ended April 30, 2020
 Performance Stock UnitsESPPPerformance Stock UnitsESPP
Range of expected volatility36.9%
36.5 - 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%
0.3 - 0.5%