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Employee Stock-Based Compensation and Benefit Plans (Tables)
12 Months Ended
Dec. 31, 2019
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Assumptions Used To Value Option Grants
The Company used the Black-Scholes model to estimate the fair value of the 2015 ESPP awards with the following weighted-average assumptions:
Year Ended
December 31, 2019December 31, 2018December 31, 2017
Expected volatility factor0.22 - 0.29  0.26 - 0.29  0.27 - 0.29  
Risk free interest rate2.06% - 2.49%  1.12% - 2.19%  0.60% - 1.12%  
Expected dividend yield1.27% - 1.39%  0% - 1.27%  %
Expected life (in years)0.50.50.5
Detail Of The Total Stock-Based Compensation Recognized By Income Statement Classification
The detail of the total stock-based compensation recognized by income statement classification is as follows (in thousands):
Income Statement Classifications201920182017
Cost of subscription, support and services$10,921  $7,979  $4,281  
Research and development104,553  66,154  47,291  
Sales, marketing and services95,535  72,406  55,173  
General and administrative67,883  57,080  58,375  
Total$278,892  $203,619  $165,120  
Schedule of Nonvested Stock Unit Activity
The following table summarizes the Company's non-vested stock unit activity for the year ended December 31, 2019:
Number of
Shares
Weighted-
Average
Fair Value
at Grant Date
Non-vested stock units at December 31, 20185,853,501  $88.79  
Granted3,444,414  97.98  
Vested(2,911,198) 84.76  
Forfeited(698,183) 97.23  
Non-vested stock units at December 31, 20195,688,534  96.68  
Non-vested stock  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Assumptions Used To Value Option Grants The grant date fair value of the non-vested performance stock unit awards was determined through the use of a Monte Carlo simulation model, which utilized multiple input variables that determined the probability of satisfying the market condition requirements applicable to each award as follows:
March 2017 Grant (Modified)March 2017 Grant
Expected volatility factor0.16 - 0.320.27 - 0.32
Risk free interest rate2.67 %1.48 %
Expected dividend yield%%