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Share-Based Compensation (Tables) | 12 Months Ended
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Dec. 31, 2018
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,
| 2018 |  | 2017 |  | 2016
Expected life (in years) | 6.0 |  |  | 6.0 |  |  | 6.0 |
Expected volatility | 26.7 | % |  | 28.1 | % |  | 29.3 | %
Risk-free interest rate | 2.7 | % |  | 2.0 | % |  | 1.8 | %
Expected forfeiture rate | — | % |  | — | % |  | — | %
Summarizes Restricted Stock Unit and Performance Share Activity | The following table summarizes restricted stock unit and performance stock unit activity during fiscal year 2018 (shares in thousands):
|  | Number of Shares |  | Weighted Average Grant Date Fair Value per Share
Unvested at January 1, 2018 |  | — |  |  | $ | — |
Granted |  | 336 |  |  | $ | 221.29 |
Vested |  | — |  |  | $ | — |
Forfeited |  | (2 | ) |  | $ | 229.75 |
Unvested at December 31, 2018 |  | 334 |  |  | $ | 221.25 |
Stock Option Activity | Other information pertaining to option activity was as follows during the twelve months ended December 31:
| 2018 |  | 2017 |  | 2016
Weighted average grant-date fair value of stock options granted | $ | 66.52 |  |  | $ | 55.56 |  |  | $ | 46.89 |
Total intrinsic value of stock options exercised | 176,716 |  |  | 137,699 |  |  | 103,703 |
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, 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 |  |  |  |  |
Granted | 432 |  |  | 208.21 |  |  |  |  |
Exercised | (1,126 | ) |  | 66.53 |  |  |  |  |  |
Forfeited | (31 | ) |  | 158.80 |  |  |  |  |  |
Outstanding at December 31, 2018 | 4,092 |  |  | 129.51 |  |  | 7 |  | $ | 240,069 |
Exercisable at December 31, 2018 | 2,357 |  |  | 100.41 |  |  | 6 |  | $ | 201,349 |
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,
| 2018 |  | 2017 |  | 2016
Cost of software services, maintenance and subscriptions | $ | 13,588 |  |  | $ | 9,415 |  |  | $ | 6,548 |
Selling, general and administrative expenses | 39,152 |  |  | 27,933 |  |  | 23,199 |
Total share-based compensation expenses | 52,740 |  |  | 37,348 |  |  | 29,747 |
Tax benefit | (32,487 | ) |  | (40,624 | ) |  | (30,059 | )
Net decrease (increase) in net income | $ | 20,253 |  |  | $ | (3,276 | ) |  | $ | (312 | )

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- Definition Tabular disclosure of components of a stock option or other award plan under which equity-based compensation is awarded to employees, typically comprised of the amount of unearned compensation (deferred compensation cost), compensation expense, and changes in the quantity and fair value of the shares (or other type of equity) granted, exercised, forfeited, and issued and outstanding pertaining to that plan. Disclosure may also include nature and general terms of such arrangements that existed during the period and potential effects of those arrangements on shareholders, effect of compensation cost arising from equity-based payment arrangements on the income statement, method of estimating the fair value of the goods or services received, or the fair value of the equity instruments granted, during the period, cash flow effects resulting from equity-based payment arrangements and, for registrants that accelerate vesting of out of the money share options, reasons for the decision to accelerate. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 1 -URI http://asc.fasb.org/extlink&oid=109197908&loc=d3e5047-113901 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -URI http://asc.fasb.org/extlink&oid=109197908&loc=d3e5070-113901 + Details
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- Definition Tabular disclosure of the allocation of equity-based compensation costs to a given line item on the balance sheet and income statement for the period. This may include the reporting line for the costs and the amount capitalized and expensed. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (h)(1) -URI http://asc.fasb.org/extlink&oid=109197908&loc=d3e5070-113901 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section S99 -Paragraph 1 -Subparagraph (SAB Topic 14.F) -URI http://asc.fasb.org/extlink&oid=115993241&loc=d3e301413-122809 Reference 3: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 1 -Subparagraph (b) -URI http://asc.fasb.org/extlink&oid=109197908&loc=d3e5047-113901 + Details
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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://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (d) -URI http://asc.fasb.org/extlink&oid=109197908&loc=d3e5070-113901 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (e) -URI http://asc.fasb.org/extlink&oid=109197908&loc=d3e5070-113901 Reference 3: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (c)(1) -URI http://asc.fasb.org/extlink&oid=109197908&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://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (f)(2) -URI http://asc.fasb.org/extlink&oid=109197908&loc=d3e5070-113901 + Details
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