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Stock-Based Compensation (Tables)
9 Months Ended
Sep. 30, 2017
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
 
Nine Months Ended
 
September 30, 2017
 
September 30, 2016
 
September 30, 2017
 
September 30, 2016
Expected volatility factor
0.27 - 0.29

 
0.27 - 0.41

 
0.27 - 0.29

 
0.27 - 0.41

Risk free interest rate
0.60% - 1.12%

 
0.35% - 0.42%

 
0.60% - 1.12%

 
0.25% - 0.42%

Expected dividend yield
0
%
 
0
%
 
0
%
 
0
%
Expected life (in years)
0.5

 
0.5

 
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
 
Nine Months Ended
Income Statement Classifications
September 30, 2017
 
September 30, 2016
 
September 30, 2017
 
September 30, 2016
Cost of services and maintenance revenues
$
1,132

 
$
590

 
$
2,539

 
$
1,626

Research and development
14,365

 
10,501

 
35,691

 
27,945

Sales, marketing and services
16,063

 
13,405

 
42,388

 
36,909

General and administrative
20,172

 
16,347

 
46,601

 
48,791

Total
$
51,732

 
$
40,843

 
$
127,219

 
$
115,271

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
March 2016 Grant
January 2016 Grant
Expected volatility factor
0.27-0.32

0.29 - 0.39

0.29 - 0.37

Risk free interest rate
1.48
%
0.91
%
1.10
%
Expected dividend yield
0
%
0
%
0
%