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Share-Based Compensation (Stock Option Activity) (Details) - USD ($)
$ / shares in Units, $ in Thousands
 12 Months Ended
Mar. 31, 2018
Mar. 31, 2017
Mar. 31, 2016
Shares      
Outstanding, beginning of period (in shares) 772,300 727,700 871,200
Granted (in shares) 182,800 264,300 208,200
Exercised (in shares) (55,700) (126,800) (348,000)
Forfeited or expired (in shares) (26,200) (92,900) (3,700)
Outstanding, end of period (in shares) 873,200 772,300 727,700
Exercisable, end of period (in shares) 495,000    
Weighted-Average Exercise Price      
Outstanding, beginning of period, weighted-average exercise price (in USD per share) $ 37.70 $ 30.70 $ 23.40
Options, grant date fair value (in USD per share) 56.11 55.86 42.13
Exercised, weighted-average exercise price (in USD per share) 29.08 31.75 19.22
Forfeited or expired, weighted-average exercise price (in USD per share) 48.19 42.66 35.72
Outstanding, end of period, weighted-average exercise price (in USD per share) 41.79 $ 37.70 $ 30.70
Exercisable, end of period, weighted-average exercise price (in USD per share) $ 32.41    
Options      
Outstanding, end of period, weighted-average remaining contractual term 7 years    
Exercisable, end of period, weighted-average remaining contractual term 5 years 9 months 18 days    
Outstanding, end of period, aggregate intrinsic value $ 2,985    
Exercisable, end of period, aggregate intrinsic value $ 2,985