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Share-Based Compensation (Tables)
 12 Months Ended
Dec. 31, 2016
Disclosure of Compensation Related Costs, Share-based Payments [Abstract]  
Summary of Weighted Average Assumptions Used for Options Granted
The following weighted average assumptions were used for options granted:
 
Years Ended December 31,
 
2016
 
2015
 
2014
Expected life (in years)
6.0

 
6.0

 
6.0

Expected volatility
29.3
%
 
28.3
%
 
30.9
%
Risk-free interest rate
1.8
%
 
1.7
%
 
1.8
%
Expected forfeiture rate
—
%
 
1.7
%
 
3.0
%
Summary of Share-Based Compensation Expense Related to Share-Based Awards
The following table summarizes share-based compensation expense related to share-based awards which is recorded in the statements of comprehensive income:
 
Years Ended December 31,
 
2016
 
2015
 
2014
Cost of software services, maintenance and subscriptions
$
6,548

 
$
3,380

 
$
2,177

Selling, general and administrative expenses
23,199

 
16,802

 
12,642

Total share-based compensation expenses
29,747

 
20,182


14,819

Tax benefit
(30,059
)
 
(5,986
)
 
(4,237
)
Net (decrease) increase in net income
$
(312
)
 
$
14,196


$
10,582
Stock Option Activity
Other information pertaining to option activity was as follows during the twelve months ended December 31:
 
2016
 
2015
 
2014
Weighted average grant-date fair value of stock options granted
$
46.89

 
$
45.17

 
$
31.32

Total intrinsic value of stock options exercised
103,703

 
149,542

 
69,768

Options granted, exercised, forfeited and expired are summarized as follows:
 
Number of
Shares
 
Weighted
Average Exercise
Price
 
Weighted
Average
Remaining
Contractual Life
(Years)
 
Aggregate
Intrinsic Value
Outstanding at December 31, 2013
5,720

 
$
34.66

 
 
 
 

Granted
675

 
94.15

 
 
 
 

Exercised
(855
)
 
17.17

 
 
 
 

Forfeited
(3
)
 
37.44

 
 
 
 

Outstanding at December 31, 2014
5,537

 
44.61

 
 
 
 

Granted
747

 
145.71

 
 
 
 

Exercised
(1,118
)
 
20.71

 
 
 
 

Forfeited
(2
)
 
19.61

 
 
 
 

Outstanding at December 31, 2015
5,164

 
64.43

 
 
 
 
Granted
846

 
147.25

 
 
 
 
Exercised
(827
)
 
28.43

 
 
 
 

Forfeited
(27
)
 
95.33

 
 
 
 

Outstanding at December 31, 2016
5,156

 
83.64

 
7
 
$
320,924

Exercisable at December 31, 2016
2,311

 
58.07

 
6
 
$
198,460