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Equity Compensation (Tables)
6 Months Ended
Jul. 31, 2021
Share-based Payment Arrangement [Abstract]  
Schedule of Summary of Restricted Stock Activity
A summary of restricted stock activity for the six months ended July 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 
Granted1,786.0 290.13 
Vested(646.2)166.75 
Canceled/Forfeited(301.7)215.50 
        Performance Adjustment (1)(7.9)137.02 
Unvested restricted stock units at July 31, 2021
5,334.1 $228.45 
 _______________
(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 six months ended July 31, 2021 and 2020, is as follows:
Six Months Ended July 31,
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 and six months ended July 31, 2021 and 2020, respectively, as follows:
Three Months Ended July 31,Six Months Ended July 31,
2021202020212020
Cost of subscription and maintenance revenue$7.5 $4.2 $12.8 $7.9 
Cost of other revenue2.4 1.5 4.2 3.0 
Marketing and sales64.5 43.4 112.8 84.1 
Research and development60.1 35.3 106.8 68.2 
General and administrative18.7 11.5 32.4 30.9 
Stock-based compensation expense related to stock awards and ESPP purchases
153.2 95.9 269.0 194.1 
Tax benefit(4.1)(0.2)(20.1)(0.3)
Stock-based compensation expense related to stock awards and ESPP purchases, net of tax
$149.1 $95.7 $248.9 $193.8 
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:
Six Months Ended July 31, 2021Six Months Ended July 31, 2020
Performance Stock UnitsESPP (1)Performance Stock Units (2)ESPP (2)
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%
 _______________
(1)There were no ESPP awards granted during the three months ended July 31, 2021.
(2)There were no ESPP awards granted during the three months ended July 31, 2020. There were no performance stock units granted during the three months ended July 31, 2020, where the fair value was estimated by a Monte Carlo simulation model.