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Share-Based Compensation (Stock Option Activity) (Details) - USD ($)
$ / shares in Units, $ in Thousands
12 Months Ended
Mar. 31, 2020
Mar. 31, 2019
Mar. 31, 2018
Shares      
Outstanding, beginning of period (in shares) 944,600 873,200 772,300
Granted (in shares) 302,700 294,500 182,800
Exercised (in shares) (47,900) (97,700) (55,700)
Forfeited or expired (in shares) (179,200) (125,400) (26,200)
Outstanding, end of period (in shares) 1,020,200 944,600 873,200
Exercisable, end of period (in shares) 566,200    
Weighted-Average Exercise Price      
Outstanding, beginning of period, weighted-average exercise price (in USD per share) $ 38.45 $ 41.79 $ 37.70
Options, grant date fair value (in USD per share) 30.53 29.46 56.11
Exercised, weighted-average exercise price (in USD per share) 27.60 30.02 29.08
Forfeited or expired, weighted-average exercise price (in USD per share) 42.49 47.16 48.19
Outstanding, end of period, weighted-average exercise price (in USD per share) 35.90 $ 38.45 $ 41.79
Exercisable, end of period, weighted-average exercise price (in USD per share) $ 38.66    
Options      
Outstanding, end of period, weighted-average remaining contractual term 6 years 8 months 12 days    
Exercisable, end of period, weighted-average remaining contractual term 5 years 2 months 12 days    
Outstanding, end of period, aggregate intrinsic value $ 6,214    
Exercisable, end of period, aggregate intrinsic value $ 3,514