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Share-based compensation plans (Tables)
3 Months Ended
Mar. 31, 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 Expense
Three Months Ended March 31,
(in millions)20212020
Performance share units$5.1 4.6 
Restricted stock units1.7 1.3 
Deferred stock units and fees paid in stock 0.1 0.3 
Performance-based stock options0.3 0.7 
Time-based vesting stock options0.4 0.3 
Cash based awards0.8 — 
Share-based payment expense8.4 7.2 
Income tax benefit(1.9)(1.6)
Share-based payment expense, net of tax$6.5 5.6 
Option activity
The following table summarizes performance-based stock option activity during the first three 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 March 31, 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 three 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 March 31, 2021207.8 $21.38 
Nonvested share activity
The following table summarizes RSU activity during the first three months of 2021: 
Shares
(in thousands)
Weighted-Average Grant-Date Fair Value
Nonvested balance as of December 31, 2020251.8 $72.30 
Granted85.6 79.02 
Forfeited(2.4)78.33 
Vested(65.3)77.82 
Nonvested balance as of March 31, 2021269.7 $73.05 
The following table summarizes all PSU activity during the first three months of 2021:
Shares
(in thousands)
Weighted-Average Grant-Date Fair Value
Nonvested balance as of December 31, 2020576.7 $80.43 
Granted266.9 81.04 
Forfeited(7.1)78.05 
Vested(a)
(149.5)74.03 
Nonvested balance as of March 31, 2021687.0 $82.09 
(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 three months of 2021:
Shares
(in thousands)
Weighted-Average Grant-Date Fair Value
Nonvested balance as of December 31, 202021.6 $40.46 
Granted0.2 82.57 
Forfeited(3.0)40.46 
Vested— — 
Nonvested balance as of March 31, 202118.8 $40.95