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Share-Based Compensation (Stock Option Activity) (Details) - USD ($)
$ / shares in Units, $ in Thousands
12 Months Ended
Mar. 31, 2019
Mar. 31, 2018
Mar. 31, 2017
Shares      
Outstanding, beginning of period (in shares) 873,200 772,300 727,700
Granted (in shares) 294,500 182,800 264,300
Exercised (in shares) (97,700) (55,700) (126,800)
Forfeited or expired (in shares) (125,400) (26,200) (92,900)
Outstanding, end of period (in shares) 944,600 873,200 772,300
Exercisable, end of period (in shares) 499,400    
Weighted-Average Exercise Price      
Outstanding, beginning of period, weighted-average exercise price (in USD per share) $ 41.79 $ 37.70 $ 30.70
Options, grant date fair value (in USD per share) 29.46 56.11 55.86
Exercised, weighted-average exercise price (in USD per share) 30.02 29.08 31.75
Forfeited or expired, weighted-average exercise price (in USD per share) 47.16 48.19 42.66
Outstanding, end of period, weighted-average exercise price (in USD per share) 38.45 $ 41.79 $ 37.70
Exercisable, end of period, weighted-average exercise price (in USD per share) $ 37.87    
Options      
Outstanding, end of period, weighted-average remaining contractual term 7 years    
Exercisable, end of period, weighted-average remaining contractual term 5 years 6 months    
Outstanding, end of period, aggregate intrinsic value $ 2,048    
Exercisable, end of period, aggregate intrinsic value $ 1,921