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Stock-Based Compensation Plans (Tables)
6 Months Ended
Jun. 30, 2022
Share-Based Payment Arrangement [Abstract]  
Schedule of Stock-based Compensation Expense
Stock-based compensation expense for the six month periods ended June 30, 2022 and 2021 are included in “Cost of sales” and “Selling and administrative expenses” in the Condensed Consolidated Statements of Operations and are as follows.
For the Three Month Period Ended June 30,For the Six Month Period Ended June 30,
2022202120222021
Stock-based compensation expense recognized in:
Continuing operations$22.4 $21.5 $42.2 $43.1 
Discontinued operations— 8.4 — 10.9 
Total stock-based compensation expense$22.4 $29.9 $42.2 $54.0 
Schedule of Stock Option Activity
A summary of the Company’s stock option (including SARs) activity for the six month period ended June 30, 2022 is presented in the following table (underlying shares in thousands).
SharesWeighted-Average Exercise Price (per share)
Stock options outstanding as of December 31, 20216,746 $21.76 
Granted734 53.08 
Exercised or settled(373)22.94 
Forfeited(103)36.13 
Expired— — 
Stock options outstanding as of June 30, 20227,004 24.77 
Vested as of June 30, 20224,965 18.24 
Schedule of Stock Option Fair Value Assumptions
The following assumptions were used to estimate the fair value of options granted during the six month periods ended June 30, 2022 and 2021 using the Black-Scholes option-pricing model.
For the Six Month Period Ended June 30,
Assumptions20222021
Expected life of options (in years)6.36.3
Risk-free interest rate
1.9% - 3.1%
0.9% - 1.1%
Assumed volatility
37.1% - 38.3%
39.1% - 39.4%
Expected dividend rate0.2 %0.0 %
Schedule of Restricted Stock Unit Activity A summary of the Company’s restricted stock unit activity for the six month period ended June 30, 2022 is presented in the following table (underlying shares in thousands).
SharesWeighted-Average Grant-Date Fair Value
Non-vested as of December 31, 20212,677 $34.08 
Granted468 53.02 
Vested(454)31.86 
Forfeited(142)35.77 
Non-vested as of June 30, 20222,549 37.86 
Schedule of Performance Stock Unit Activity
A summary of the Company’s performance stock unit activity for the six month period ended June 30, 2022 is presented in the following table (underlying shares in thousands).
SharesWeighted-Average Grant-Date Fair Value
Non-vested as of December 31, 2021393 $39.89 
Granted175 63.39 
Forfeited(29)39.61 
Non-vested as of June 30, 2022539 47.54 
Schedule of Performance Share Units Fair Value Assumptions
The following assumptions were used to estimate the fair value of performance share units granted during the six month periods ended June 30, 2022 and 2021 using the Monte Carlo simulation pricing model.
For the Six Month Period Ended June 30,
Assumptions20222021
Expected term (in years)2.92.9
Risk-free interest rate1.7 %0.2 %
Assumed volatility36.4 %36.9 %
Expected dividend rate0.2 %— %