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Employee Benefit Plans (Share-Based Compensation Expense) (Details) - USD ($)
$ in Thousands
12 Months Ended
Mar. 31, 2019
Mar. 31, 2018
Mar. 31, 2017
Share-based compensation expense and related tax benefit      
Total share-based compensation expense $ 50,265 $ 44,138 $ 35,890
Income tax benefit (17,091) (15,998) (8,536)
Total share-based compensation expense, net of income tax benefit 33,174 28,140 27,354
Cost of goods sold      
Share-based compensation expense and related tax benefit      
Total share-based compensation expense 3,812 3,733 2,663
Marketing and selling      
Share-based compensation expense and related tax benefit      
Total share-based compensation expense 20,630 17,765 14,723
Research and development      
Share-based compensation expense and related tax benefit      
Total share-based compensation expense 7,368 6,381 4,200
General and administrative      
Share-based compensation expense and related tax benefit      
Total share-based compensation expense $ 18,455 $ 16,259 $ 14,304