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Share-Based Compensation (Tables) | 12 Months Ended
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Dec. 31, 2017
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,
| 2017 |  | 2016 |  | 2015
Expected life (in years) | 6.0 |  |  | 6.0 |  |  | 6.0 |
Expected volatility | 28.1 | % |  | 29.3 | % |  | 28.3 | %
Risk-free interest rate | 2.0 | % |  | 1.8 | % |  | 1.7 | %
Expected forfeiture rate | — | % |  | — | % |  | 1.7 | %
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,
| 2017 |  | 2016 |  | 2015
Cost of software services, maintenance and subscriptions | $ | 9,415 |  |  | $ | 6,548 |  |  | $ | 3,380 |
Selling, general and administrative expenses | 27,933 |  |  | 23,199 |  |  | 16,802 |
Total share-based compensation expenses | 37,348 |  |  | 29,747 |  |  | 20,182 |
Tax benefit | (40,624 | ) |  | (30,059 | ) |  | (5,986 | )
Net (increase) decrease in net income | $ | (3,276 | ) |  | $ | (312 | ) |  | $ | 14,196 |
Stock Option Activity | Other information pertaining to option activity was as follows during the twelve months ended December 31:
| 2017 |  | 2016 |  | 2015
Weighted average grant-date fair value of stock options granted | $ | 55.56 |  |  | $ | 46.89 |  |  | $ | 45.17 |
Total intrinsic value of stock options exercised | 137,699 |  |  | 103,703 |  |  | 149,542 |
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, 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 |  |  |  |  |
Granted | 824 |  |  | 176.26 |  |  |  |  |
Exercised | (1,113 | ) |  | 44.80 |  |  |  |  |  |
Forfeited | (50 | ) |  | 134.83 |  |  |  |  |  |
Outstanding at December 31, 2017 | 4,817 |  |  | 107.91 |  |  | 7 |  | $ | 334,940 |
Exercisable at December 31, 2017 | 2,355 |  |  | 78.40 |  |  | 6 |  | $ | 232,366 |

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- Definition Tabular disclosure for stock option plans. Includes, but is not limited to, outstanding awards at beginning and end of year, grants, exercises, forfeitures, and weighted-average grant date fair value. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (d) -URI http://asc.fasb.org/extlink&oid=96867065&loc=d3e5070-113901 Reference 2: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (e) -URI http://asc.fasb.org/extlink&oid=96867065&loc=d3e5070-113901 Reference 3: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (c)(1) -URI http://asc.fasb.org/extlink&oid=96867065&loc=d3e5070-113901 + Details
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- Definition Tabular disclosure of the significant assumptions used during the year to estimate the fair value of stock options, including, but not limited to: (a) expected term of share options and similar instruments, (b) expected volatility of the entity's shares, (c) expected dividends, (d) risk-free rate(s), and (e) discount for post-vesting restrictions. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (f)(2) -URI http://asc.fasb.org/extlink&oid=96867065&loc=d3e5070-113901 + Details
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