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Share-based compensation plans (Tables)
6 Months Ended
Jun. 30, 2021
Share-based Payment Arrangement [Abstract]  
Compensation expense by plan
Compensation expenses are classified as selling, general and administrative expenses in the condensed consolidated statements of operations. Compensation expenses for the share-based awards were as follows:
Compensation ExpenseCompensation Expense
Three Months Ended June 30,Six Months Ended June 30,
(in millions)2021202020212020
Performance share units$7.4 2.4 $12.5 7.0 
Restricted stock units2.9 1.7 4.6 3.0 
Deferred stock units and fees paid in stock 0.5 0.3 0.6 0.6 
Performance-based stock options— 0.5 0.3 1.2 
Time-based vesting stock options0.3 0.5 0.7 0.8 
Cash based awards(0.2)0.4 0.6 0.4 
Share-based payment expense10.9 5.8 19.3 13.0 
Income tax benefit(2.5)(1.2)(4.4)(2.8)
Share-based payment expense, net of tax$8.4 4.6 $14.9 10.2 
Option activity
The following table summarizes performance-based stock option activity during the first six months of 2021:
Shares
(in thousands)
Weighted-Average Grant-Date Fair Value
Outstanding balance as of December 31, 20201,165.0 $11.17 
Granted— — 
Expired(a)
(184.7)15.23 
Exercised(33.8)14.72 
Outstanding balance as of June 30, 2021946.5 $10.25 

(a)Although the service condition had been met, these 2018 performance options expired in accordance with the terms of the underlying award agreement.
The following table summarizes time-based stock option activity during the first six months of 2021: 
Shares
(in thousands)
Weighted-Average Grant-Date Fair Value
Outstanding balance as of December 31, 2020207.8 $21.38 
Granted— — 
Forfeited— — 
Exercised— — 
Outstanding balance as of June 30, 2021207.8 $21.38 
Nonvested share activity
The following table summarizes RSU activity during the first six months of 2021: 
Shares
(in thousands)
Weighted-Average Grant-Date Fair Value
Nonvested balance as of December 31, 2020251.8 $72.30 
Granted95.5 78.82 
Forfeited(3.1)78.71 
Vested(73.3)75.44 
Nonvested balance as of June 30 2021270.9 $73.68 
The following table summarizes all PSU activity during the first six months of 2021:
Shares
(in thousands)
Weighted-Average Grant-Date Fair Value
Nonvested balance as of December 31, 2020576.7 $80.43 
Granted275.9 80.89 
Forfeited(8.5)78.31 
Vested(a)
(149.5)74.03 
Nonvested balance as of June 30, 2021694.6 $82.02 
(a)The vested PSUs presented are based on the target amount of the award. In accordance with the terms of the underlying award agreements, the actual shares earned and distributed for the performance period ended December 31, 2020 were 246.9 thousand, compared to target shares of 149.5 thousand.
The following table summarizes all DSU activity during the first six months of 2021:
Shares
(in thousands)
Weighted-Average Grant-Date Fair Value
Nonvested balance as of December 31, 202021.6 $40.46 
Granted15.7 79.93 
Forfeited(3.0)40.46 
Vested(21.4)45.68 
Nonvested balance as of June 30, 202112.9 $79.80