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Share-Based Compensation (Tables)
12 Months Ended
Dec. 31, 2020
Share-based Payment Arrangement [Abstract]  
Share-based compensation expense Share-based compensation expense and cash flow amounts were as follows:
 Year Ended December 31,
 202020192018
 (Dollars in millions)
Share-based compensation expense$13.5 $38.3 $34.9 
Tax benefit— — — 
Share-based compensation expense, net of tax benefit$13.5 $38.3 $34.9 
Cash received upon the exercise of stock options
— — — 
Write-off tax benefits related to share-based compensation— — — 
Schedule of Share-based Compensation, Restricted Stock Units Activity
A summary of restricted stock unit activity is as follows:
Year Ended December 31, 2020Weighted
Average
Grant-Date
Fair Value
Nonvested at December 31, 20191,706,025 $26.89 
Granted1,706,907 9.71 
Vested(1,105,979)24.37 
Forfeited(676,997)16.38 
Nonvested at December 31, 20201,629,956 $14.49 
Schedule of Performance Units Activity
A summary of performance unit activity is as follows:
Year Ended December 31, 2020Weighted
Average
Remaining Contractual Life
Nonvested at December 31, 2019426,606 1.6 
Granted686,082 
Vested— 
Forfeited(254,100)
Nonvested at December 31, 2020858,588 1.5 
Schedule of Share-based Payment Award, Performance Units, Valuation Assumptions The assumptions used in the valuations for grants were as follows:
Year Ended December 31,
20202019
Risk-free interest rate1.45 %2.44 %
Expected volatility49.34 %48.81 %
Dividend yield— %— %