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Stock-Based Compensation (Tables)
3 Months Ended
Mar. 31, 2016
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 its Employee Stock Purchase Plan awards with the following weighted-average assumptions:
 
Three Months Ended
 
March 31, 2016
Expected volatility factor
0.41

Risk free interest rate
0.35
%
Expected dividend yield
0
%
Expected life (in years)
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
 
Three Months Ended
Income Statement Classifications
March 31, 2016
 
March 31, 2015
Cost of services and maintenance revenues
$
770

 
$
550

Research and development
10,076

 
13,257

Sales, marketing and services
12,390

 
10,696

General and administrative
18,861

 
9,708

Total
$
42,097

 
$
34,211

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 2016 Grant
January 2016 Grant
March 2015 Grant
Expected volatility factor
0.29 - 0.39

0.29 - 0.37

0.14 - 0.29

Risk free interest rate
0.91
%
1.10
%
0.85
%
Expected dividend yield
0
%
0
%
0
%