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Share-based Compensation | 12 Months Ended
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Dec. 31, 2021
Share-based Payment Arrangement [Abstract] |
Share-based Compensation | Share-based Compensation Under the 2017 Omnibus Equity Plan (the “2017 Omnibus Equity Plan”) officers and employees (including our principal executive officer, principal financial officer and other “named executive officers”) are eligible to be granted stock options, stock appreciation rights (“SARs”), restricted stock, restricted stock units (“RSUs”), performance shares and common shares. The maximum number of shares available for issuance is 1.70, which may be treasury shares or unissued shares. As of December 31, 2021, 0.24 stock options, 0.11 shares of restricted stock and RSUs, and 0.09 performance units were outstanding under the 2017 Omnibus Equity Plan. Under the Amended and Restated 2009 Omnibus Equity Plan (“2009 Omnibus Equity Plan”) which was originally approved by our shareholders in May 2009 and re-approved by shareholders in May 2012 as amended and restated, we could grant stock options, SARs, RSUs, restricted stock, performance shares, leveraged restricted shares, and common shares to employees and directors. The maximum number of shares available for issuance is 3.35, which could be treasury shares or unissued shares. As of December 31, 2021, 0.05 stock options were outstanding under the 2009 Omnibus Equity Plan. We recognized share-based compensation expense of $11.2, $8.6, and $8.8 for the years ended December 31, 2021, 2020 and 2019, respectively. This expense is included in selling, general and administrative expenses in the consolidated statements of income. The tax benefit related to share-based compensation, which was recorded in net income in the consolidated statement of income during the years ended December 31, 2021, 2020 and 2019 was $2.2, $1.6 and $2.7 respectively, which was recorded in net income in the consolidated statements of income. As of December 31, 2021, total share-based compensation expense of $9.9 is expected to be recognized over the remaining weighted-average period of approximately 1.9 years. Stock Options We use a Black-Scholes option pricing model to estimate the fair value of stock options. The expected volatility is based on historical information. The risk-free rate is based on the U.S. Treasury yield in effect at the time of the grant. Weighted-average grant-date fair values of stock options and the assumptions used in estimating the fair values are as follows:
| Year Ended December 31,
| 2021 |  | 2020 |  | 2019
Weighted-average grant-date fair value per share | $ | 52.19 |  |  | $ | 28.53 |  |  | $ | 30.66 |
Expected term (years) | 4.7 |  | 4.8 |  | 5.0
Risk-free interest rate | 0.33 | % |  | 1.66 | % |  | 2.24 | %
Expected volatility | 53.10 | % |  | 46.60 | % |  | 50.94 | %
Stock options generally have a four-year graded vesting period, an exercise price equal to the fair market value of a share of common stock on the date of grant, and a contractual term of 10 years. The following table summarizes our stock option activity from continuing operations:
| December 31, 2021
| Number of Shares |  | Weighted-average Exercise Price |  | Aggregate Intrinsic Value |  | Weighted- average Remaining Contractual Term
Outstanding at beginning of year | 0.36 |  |  | $ | 57.95 |  |  |  |  |
Granted | 0.06 |  |  | 118.41 |  |  |  |  |
Exercised | (0.13) |  |  | 55.39 |  |  |  |  |
Forfeited / Cancelled | (0.01) |  |  | 69.10 |  |  |  |  |
Outstanding at end of year | 0.28 |  |  | $ | 71.38 |  |  | $ | 25.1 |  |  | 6.7 years
Vested and expected to vest at end of year | 0.28 |  |  | $ | 70.55 |  |  | $ | 12.5 |  |  | 6.6 years
Exercisable at end of year | 0.12 |  |  | $ | 54.20 |  |  | $ | 24.5 |  |  | 5.1 years
As of December 31, 2021, total unrecognized compensation cost related to stock options expected to be recognized over the weighted-average period of approximately 2.4 years is $2.6. The total intrinsic value of options exercised during the years ended December 31, 2021, 2020 and 2019 was $10.3, $13.2, and $13.1, respectively. The total fair value of stock options vested during the years ended December 31, 2021, 2020 and 2019 was $2.6, $3.5, and $3.1, respectively. Restricted Stock and RSUs Restricted stock and RSUs generally vest ratably over a three-year period and are valued based on our market price on the date of grant. The following table summarizes our unvested restricted stock and RSUs activity from continuing operations:
| December 31, 2021
| Number of Shares |  | Weighted-Average Grant-Date Fair Value
Unvested at beginning of year | 0.19 |  |  | $ | 60.28 |
Granted | 0.06 |  |  | 124.32 |
Forfeited | (0.01) |  |  | 89.70 |
Vested | (0.13) |  |  | 61.62 |
Unvested at end of year | 0.11 |  |  | $ | 87.74 |
As of December 31, 2021, total unrecognized compensation cost related to unvested restricted stock and RSUs expected to be recognized over the weighted-average period of approximately 1.7 years is $4.3. The weighted-average grant-date fair value of restricted stock and RSUs granted during the years ended December 31, 2021, 2020, and 2019 was $124.32, $63.32, and $67.64, respectively. The total fair value of restricted stock and RSUs that vested during the years ended December 31, 2021, 2020, and 2019 was $17.4, $6.8, and $7.7, respectively. Performance Units Performance units are earned over a three-year period. Based on the attainment of pre-determined performance condition targets as determined by the Compensation Committee of the Board of Directors, performance units earned may be in the range of between 0% and 200%. The following table, which is stated at a 100% earned percentage, summarizes our performance units activity from continuing operations:
| December 31, 2021
| Number of Shares |  | Weighted-Average Grant-Date Fair Value
Unvested at beginning of year | 0.07 |  |  | $ | 66.76 |
Granted | 0.03 |  |  | 118.41 |
Vested | (0.01) |  |  | 51.68 |
Forfeited | — |  |  | 118.41 |
Unvested at end of year | 0.09 |  |  | $ | 84.44 |
As of December 31, 2021, total unrecognized compensation cost related to performance units expected to be recognized over a weighted-average period of approximately 1.7 years is $3.0. The weighted-average grant-date fair value of performance units granted during the years ended December 31, 2021, 2020, and 2019 was $118.41, $67.50, and $69.53, respectively. The total fair value of performance units that vested during the years ended December 31, 2021, 2020, and 2019 was $0.9, $0.3, and $1.1, respectively. Directors’ Stock Grants In 2021, 2020 and 2019, we granted the non-employee directors stock awards covering 0.01 shares of common stock for each of those years, which had fair values of $0.6, $1.3, and $0.6, respectively. These stock awards were fully vested on the grant date. Likewise, the fair values were recognized immediately on the grant date.

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