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Stock-Based Compensation (Tables)
3 Months Ended
Mar. 31, 2019
Disclosure of Compensation Related Costs, Share-based Payments [Abstract]  
Schedule of Share-based Payment Award, Employee Stock Purchase Plan, Valuation Assumptions
The Company used the Black-Scholes model to estimate the fair value of 2015 ESPP awards with the following weighted-average assumptions:
 
Three Months Ended
 
March 31, 2019
 
March 31, 2018
Expected volatility factor
0.26 - 0.29
 
0.27 - 0.29

Risk free interest rate
2.19% - 2.49%
 
1.12% - 1.63%

Expected dividend yield
1.27% - 1.31%
 
0
%
Expected life (in years)
0.5
 
0.5

Schedule of 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):
 
Three Months Ended
Income Statement Classifications
March 31, 2019

March 31, 2018
Cost of subscription, support and services
$
2,202

 
$
1,480

Research and development
27,837

 
10,793

Sales, marketing and services
19,926

 
13,567

General and administrative
15,269

 
9,883

Total
$
65,234

 
$
35,723

Schedule of Assumptions Used to Value Nonvested Share 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 factor
0.16-0.32

0.27-0.32

Risk free interest rate
2.67
%
1.48
%
Expected dividend yield
0
%
0
%