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Stock-Based Compensation Plans (Tables)
9 Months Ended
Sep. 30, 2022
Share-Based Payment Arrangement [Abstract]  
Schedule of Stock-based Compensation Expense
Stock-based compensation expense for the nine month periods ended September 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 September 30,For the Nine Month Period Ended September 30,
2022202120222021
Stock-based compensation expense recognized in:
Continuing operations$20.1 $21.9 $62.3 $65.0 
Discontinued operations— — — 10.9 
Total stock-based compensation expense$20.1 $21.9 $62.3 $75.9 
Schedule of Stock Option Activity
A summary of the Company’s stock option (including SARs) activity for the nine month period ended September 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 
Granted741 53.05 
Exercised or settled(711)20.67 
Forfeited(127)37.49 
Expired(6)38.19 
Stock options outstanding as of September 30, 20226,643 25.05 
Vested as of September 30, 20224,649 18.34 
Schedule of Stock Option Fair Value Assumptions
The following assumptions were used to estimate the fair value of options granted during the nine month periods ended September 30, 2022 and 2021 using the Black-Scholes option-pricing model.
For the Nine Month Period Ended September 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%
38.9% - 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 nine month period ended September 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 
Granted551 52.33 
Vested(1,997)34.02 
Forfeited(176)36.67 
Non-vested as of September 30, 20221,055 43.29 
Schedule of Performance Stock Unit Activity
A summary of the Company’s performance stock unit activity for the nine month period ended September 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 
Granted1,175 46.56 
Forfeited(29)39.61 
Non-vested as of September 30, 20221,539 44.99 
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 nine month periods ended September 30, 2022 and 2021 using the Monte Carlo simulation pricing model.
For the Nine Month Period Ended September 30,
Assumptions20222021
Expected term (in years)
2.9 - 5.0
2.9
Risk-free interest rate
1.7% - 3.4%
0.2 %
Assumed volatility
35.0% - 36.4%
36.9 %
Expected dividend rate0.2 %— %