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Stock-Based Compensation Plans (Tables)
6 Months Ended
Jun. 30, 2021
Share-based Payment Arrangement [Abstract]  
Schedule of Stock-based Compensation Expense
Stock-based compensation expense for the six month periods ended June 30, 2021 and 2020 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,
2021202020212020
Stock-based compensation expense - continuing and discontinued operations$29.9 $12.7 $54.0 $16.2 
Stock-based compensation expense recognized in discontinued operations8.4 0.6 10.9 0.8 
Stock-based compensation expense recognized in continuing operations$21.5 $12.1 $43.1 $15.4 
Schedule of Stock Option Activity
A summary of the Company’s stock option (including SARs) activity for the six month period ended June 30, 2021 is presented in the following table (underlying shares in thousands).
SharesWeighted-Average Exercise Price (per share)
Stock options outstanding as of December 31, 20207,742 $18.47 
Granted758 45.58 
Exercised or settled(800)16.83 
Forfeited(209)30.57 
Expired(5)9.07 
Stock options outstanding as of June 30, 20217,486 21.06 
Vested as of June 30, 20215,041 15.69 
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, 2021 and 2020 using the Black-Scholes option-pricing model.
For the Six Month Period Ended June 30,
Assumptions20212020
Expected life of options (in years)6.36.3
Risk-free interest rate
0.9% - 1.1%
0.4% - 1.5%
Assumed volatility
39.1% - 39.4%
24.6% - 41.1%
Expected dividend rate0.0 %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, 2021 is presented in the following table (underlying shares in thousands).
SharesWeighted-Average Grant-Date Fair Value
Non-vested as of December 31, 20205,546 $33.09 
Granted326 45.58 
Vested(711)30.30 
Forfeited(532)34.15 
Non-vested as of June 30, 20214,629 34.28 
Schedule of Performance Stock Unit Activity
A summary of the Company’s performance stock unit activity for the six month period ended June 30, 2021 is presented in the following table (underlying shares in thousands).
SharesWeighted-Average Grant-Date Fair Value
Non-vested as of December 31, 2020255 $29.72 
Granted158 55.84 
Forfeited(20)36.36 
Non-vested as of June 30, 2021393 39.89 
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, 2021 and 2020 using the Monte Carlo simulation pricing model.
For the Six Month Period Ended June 30,
Assumptions20212020
Expected term (in years)2.92.8
Risk-free interest rate0.2 %0.5 %
Assumed volatility36.9 %35.2 %
Expected dividend rate— %— %