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Share-Based Compensation (Stock Option Activity) (Details) - USD ($)
$ / shares in Units, $ in Thousands
 12 Months Ended
Mar. 31, 2022
Mar. 31, 2021
Mar. 31, 2020
Shares      
Outstanding, beginning of period (in shares) 1,114,900 1,020,200 944,600
Granted (in shares) 234,200 249,900 302,700
Exercised (in shares) (226,000.0) (119,600) (47,900)
Forfeited (in shares) (13,700) (21,700) (79,200)
Expired (in shares) (8,500) (13,900) (100,000.0)
Outstanding, end of period (in shares) 1,100,900 1,114,900 1,020,200
Exercisable, end of period (in shares) 621,300    
Weighted Average Exercise Price      
Outstanding, beginning of period, weighted-average exercise price (in USD per share) $ 37.92 $ 35.90 $ 38.45
Options, grant date fair value (in USD per share) 44.74 39.98 30.53
Exercised, weighted-average exercise price (in USD per share) 31.15 23.83 27.60
Forfeited weighted average exercise price (in USD per share) 37.83 34.65 32.62
Expired weighted average exercise price (in USD per share) 56.63 52.86 50.31
Outstanding, end of period, weighted-average exercise price (in USD per share) 40.62 $ 37.92 $ 35.90
Exercisable, end of period, weighted-average exercise price (in USD per share) $ 40.79    
Options      
Outstanding, end of period, weighted-average remaining contractual term 6 years 7 months 6 days    
Exercisable, end of period, weighted-average remaining contractual term 5 years 2 months 12 days    
Outstanding, end of period, aggregate intrinsic value $ 14,239    
Exercisable, end of period, aggregate intrinsic value $ 8,226