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Stock-based Compensation Expense (Tables)
 6 Months Ended
Jul. 31, 2018
Disclosure of Compensation Related Costs, Share-based Payments [Abstract]  
Schedule of summary of restricted stock activity A summary of restricted stock activity for the six months ended July 31, 2018, is as follows:
 
 
Unvested
Restricted
Stock Units
 
Weighted
average grant
date fair value
per share
 
(in thousands)
 
 
Unvested restricted stock units at January 31, 2018
5,670.7

 
$
82.94

Granted
476.7

 
142.47

Vested
(989.6
)
 
79.10

Canceled/Forfeited
(411.0
)
 
85.49

        Performance Adjustment (1)
29.9

 
96.04

Unvested restricted stock units at July 31, 2018
4,776.7

 
$
90.34


 _______________
(1)
Based on Autodesk's financial results and relative total stockholder return for the fiscal 2018 performance period. The performance stock units were attained at rates ranging from 90.0% to 117.6% of the target award.

Schedule of summary of the ESPP activity A summary of the ESPP activity for the six months ended July 31, 2018 and 2017, is as follows:

 
Six Months Ended July 31,
 
2018
 
2017
Issued shares
0.5

 
1.1

Average price of issued shares
$
88.45

 
$
38.34

Weighted average grant date fair value of awards granted under the ESPP (1)
$
37.64

 
$
25.13

 _______________
(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, 2018 and 2017, respectively, as follows:
 
 
Three Months Ended July 31,
 
Six Months Ended July 31,
 
2018
 
2017
 
2018
 
2017
Cost of subscription and maintenance revenue
$
3.1

 
$
2.9

 
$
5.8

 
$
5.7

Cost of other revenue
0.9

 
1.0

 
1.7

 
2.1

Marketing and sales
25.9

 
26.0

 
49.9

 
52.4

Research and development
18.7

 
20.4

 
36.5

 
41.6

General and administrative
8.3

 
17.3

 
17.4

 
32.6

Stock-based compensation expense related to stock awards and ESPP purchases
56.9

 
67.6

 
111.3

 
134.4

Tax benefit
(0.2
)
 
(0.3
)
 
(0.6
)
 
(0.3
)
Stock-based compensation expense related to stock awards and ESPP purchases, net of tax
$
56.7

 
$
67.3

 
$
110.7

 
$
134.1
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 July 31, 2018

Three Months Ended July 31, 2017
 
Performance Stock Unit

ESPP

Performance Stock Unit

ESPP
Range of expected volatilities
—%

N/A

31.8%

N/A
Range of expected lives (in years)
N/A

N/A

N/A

N/A
Expected dividends
—%

N/A

—%

N/A
Range of risk-free interest rates
—%

N/A

1.2%

N/A
 
Six Months Ended July 31, 2018

Six Months Ended July 31, 2017
 
Performance Stock Unit

ESPP

Performance Stock Unit

ESPP
Range of expected volatilities
35.7%
 
33.5 - 37.5%
 
31.8%
 
31.4 - 33.7%
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 rates
2.0%
 
1.9 - 2.3%
 
1.0 - 1.2%
 
0.9 - 1.3%