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Share-Based Compensation (Stock Option Activity) (Details) - USD ($)
$ / shares in Units, $ in Thousands
 12 Months Ended
Mar. 31, 2023
Mar. 31, 2022
Mar. 31, 2021
Shares      
Outstanding, beginning of period (in shares) 1,100,900 1,114,900 1,020,200
Granted (in shares) 197,600 234,200 249,900
Exercised (in shares) (205,200) (226,000.0) (119,600)
Forfeited (in shares) (10,300) (13,700) (21,700)
Expired (in shares) (800) (8,500) (13,900)
Outstanding, end of period (in shares) 1,082,200 1,100,900 1,114,900
Exercisable, end of period (in shares) 665,500    
Weighted Average Exercise Price      
Outstanding, beginning of period, weighted-average exercise price (in USD per share) $ 40.62 $ 37.92 $ 35.90
Options, grant date fair value (in USD per share) 54.48 44.74 39.98
Exercised, weighted-average exercise price (in USD per share) 35.93 31.15 23.83
Forfeited weighted average exercise price (in USD per share) 49.53 37.83 34.65
Expired weighted average exercise price (in USD per share) 44.33 56.63 52.86
Outstanding, end of period, weighted-average exercise price (in USD per share) 43.95 $ 40.62 $ 37.92
Exercisable, end of period, weighted-average exercise price (in USD per share) $ 41.19    
Options      
Outstanding, end of period, weighted-average remaining contractual term 6 years 4 months 24 days    
Exercisable, end of period, weighted-average remaining contractual term 5 years 2 months 12 days    
Outstanding, end of period, aggregate intrinsic value $ 20,212    
Exercisable, end of period, aggregate intrinsic value $ 14,270