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Equity-Based Compensation (Tables) | 12 Months Ended
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Dec. 31, 2018
Share-based Arrangements with Employees and Nonemployees [Abstract] |
Schedule Equity-Based Compensation Expense | Equity-based compensation expense, which is recorded in Selling and administrative expenses in the Consolidated Statements of Operations is as follows:
|  | Year Ended December 31,
(in millions) |  | 2018 |  | 2017 |  | 2016
Equity-based compensation expense |  | $ | 40.7 |  |  | $ | 43.7 |  |  | $ | 39.2 |
Income tax benefit(1) |  | (9.9 | ) |  | (15.3 | ) |  | (13.3 | )
Equity-based compensation expense (net of tax) |  | $ | 30.8 |  |  | $ | 28.4 |  |  | $ | 25.9 |
(1) Represents equity-based compensation tax expense at the statutory tax rates. Excess tax benefits associated with equity awards are excluded from this disclosure and separately disclosed in Note 10 (Income Taxes).
Schedule of Share-based Payment Award, Stock Options, Valuation Assumptions | The weighted-average assumptions used to value the stock options granted were as follows:
|  | Year Ended December 31,
|  | 2018 |  | 2017 |  | 2016
Grant date fair value |  | $ | 14.80 |  |  | $ | 12.27 |  |  | $ | 8.55 |
Volatility (1) |  | 20.00 | % |  | 22.00 | % |  | 25.00 | %
Risk-free rate (2) |  | 2.75 | % |  | 2.08 | % |  | 1.47 | %
Expected dividend yield |  | 1.14 | % |  | 1.09 | % |  | 1.08 | %
Expected term (in years) (3) |  | 6.0 |  |  | 6.0 |  |  | 6.0 |
(1) | Based upon an assessment of the two-year and five-year historical and implied volatility for the Company's selected peer group, adjusted for the Company's leverage.
(2) | Based on a composite US Treasury rate.
(3) Calculated using the simplified method, which defines the expected term as the average of the option's contractual term and the option's weighted-average vesting period. The Company utilizes this method as it has limited historical stock option data that is sufficient to derive a reasonable estimate of the expected stock option term.
Schedule of Stock Options Roll Forward | Stock option activity for the year ended December 31, 2018 was as follows:
Options |  | Number of Options |  | Weighted-Average Exercise Price |  | Weighted-Average Remaining Contractual Term (years) |  | Aggregate Intrinsic Value (millions)
Outstanding at January 1, 2018 |  | 4,457,996 |  |  | $ | 37.41 |  |  |  |  |
Granted |  | 1,021,398 |  |  | 73.85 |  |  |  |  |
Forfeited/Expired |  | (63,372 | ) |  | 59.85 |  |  |  |  |
Exercised(1) |  | (935,250 | ) |  | 30.59 |  |  |  |  |
Outstanding at December 31, 2018 |  | 4,480,772 |  |  | $ | 46.82 |  |  | 7.04 |  | $ | 153.5 |
Vested and exercisable at December 31, 2018 |  | 2,423,693 |  |  | $ | 32.67 |  |  | 5.79 |  | $ | 117.3 |
Expected to vest after December 31, 2018 |  | 2,031,401 |  |  | $ | 63.43 |  |  | 8.52 |  | $ | 35.9 |
(1) The total intrinsic value of stock options exercised during the years ended December 31, 2018, 2017 and 2016 was $47 million, $17 million and $7 million, respectively.
Schedule of Share-based Compensation, Restricted Stock and Restricted Stock Units Activity | RSU activity for the year ended December 31, 2018 was as follows:
|  | Number of Units |  | Weighted-Average Grant-Date Fair Value
Nonvested at January 1, 2018 |  | 131,069 |  |  | $ | 40.11 |
Granted (1) |  | 177,525 |  |  | 73.95 |
Vested (2) |  | (26,886 | ) |  | 60.18 |
Forfeited |  | (21,535 | ) |  | 60.25 |
Nonvested at December 31, 2018 |  | 260,173 |  |  | $ | 59.56 |
(1) | The weighted-average grant date fair value of RSUs granted during the years ended December 31, 2018, 2017 and 2016 was $73.95, $58.90 and $39.82, respectively.
(2) The aggregate fair value of RSUs that vested during the years ended December 31, 2018, 2017 and 2016 was $2 million, $18 million and $1 million, respectively.
Schedule of Nonvested Performance-based Units Activity | PSU activity for the year ended December 31, 2018 was as follows:
|  | Number of Units |  | Weighted-Average Grant-Date Fair Value
Nonvested at January 1, 2018 |  | 418,973 |  |  | $ | 50.75 |
Granted (1) |  | 204,890 |  |  | 73.74 |
Attainment Adjustment (2) |  | 154,234 |  |  | 37.84 |
Vested (3) |  | (334,255 | ) |  | 39.92 |
Forfeited |  | (22,005 | ) |  | 59.87 |
Nonvested at December 31, 2018 |  | 421,837 |  |  | $ | 65.85 |
(1) | The weighted-average grant date fair value of PSUs granted during the years ended December 31, 2018, 2017 and 2016 was $73.74, $59.00 and $39.91, respectively.
(2) | During the year ended December 31, 2018, the attainment on PSUs vested at December 31, 2017 was adjusted to reflect actual performance. The weighted-average grant date fair value of PSUs included in the attainment adjustment is $37.84.
(3) The aggregate fair value of PSUs that vested during the years ended December 31, 2018, 2017 and 2016 was $13 million, $20 million and $9 million, respectively.
Share-based Compensation, Performance Shares Award Nonvested Activity | PSA activity for the year ended December 31, 2018 was as follows:
|  | Number of Units |  | Weighted-Average Grant-Date Fair Value
Nonvested at January 1, 2018 |  | 122,467 |  |  | $ | 40.08 |
Granted (1) |  | 1,279 |  |  | — |
Attainment Adjustment (2) |  | 111,565 |  |  | 37.79 |
Vested (3) |  | (227,298 | ) |  | 40.12 |
Forfeited |  | (8,013 | ) |  | 39.79 |
Nonvested at December 31, 2018 |  | — |  |  | $ | — |
(1) | The weighted-average grant date fair value of PSAs granted during the year ended December 31, 2018 and 2017 was zero as the units granted consisted of only dividends on previously granted units. The weighted-average grant date fair value of PSAs granted during the year ended December 31, 2016 was $40.06.
(2) | During the year ended December 31, 2018, the attainment on PSAs vested at December 31, 2017 was adjusted to reflect actual performance. The weighted-average grant date fair value of PSAs included in the attainment adjustment is $37.79.
(3) The aggregate fair value of PSAs that vested during the years ended December 31, 2018 and 2017 was $9 million and $5 million, respectively. No PSAs vested during the year ended December 31, 2016.

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- Definition Tabular disclosure of the changes in outstanding nonvested performance-based units. + 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 (c)(2) -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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- Definition Disclosure of the number and weighted-average grant date fair value for restricted stock and restricted stock units that were outstanding at the beginning and end of the year, and the number of restricted stock and restricted stock units that were granted, vested, or forfeited during the year. + References No definition available. + Details
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