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Stock-Based Compensation - Narrative (Details) - USD ($)
$ / shares in Units, $ in Millions
12 Months Ended
Mar. 31, 2020
Mar. 31, 2019
Mar. 31, 2018
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Stock-based compensation expense $ 26.9 $ 22.6 $ 20.0
Tax benefit on stock-based compensation 6.3 5.2 6.5
Excess tax benefit related to stock options exercised 5.4 $ 1.9 $ 1.3
Unrecognized compensation cost $ 28.1    
Unrecognized compensation cost, weighted-average period of recognition 1 year 8 months 26 days    
Weighted-average grant date fair value (in dollars per share) $ 9.50 $ 10.59 $ 8.12
Fair value of options vested $ 10.2 $ 12.3 $ 16.0
Performance Shares      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Vesting period 3 years    
Performance Shares | Minimum      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Award vesting rights, percentage 0.00%    
Performance Shares | Maximum      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Award vesting rights, percentage 200.00%    
Incentive Plan      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Award maximum term 10 years    
Shares authorized to be granted (in shares) 13,150,000    
Options Granted to Directors | Incentive Plan      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Vesting period 3 years    
Options Granted to Directors | Incentive Plan | Performance Shares      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Vesting period 3 years