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Share-Based Compensation (Share-Based Compensation Expense) (Details) - USD ($)
$ in Thousands
12 Months Ended
Mar. 31, 2022
Mar. 31, 2021
Mar. 31, 2020
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]      
Share-based compensation $ 38,928 $ 53,676 $ 40,251
SG&A expense      
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]      
Share-based compensation 22,918 39,627 25,727
R&D expense      
Share-based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]      
Share-based compensation $ 16,010 $ 14,049 $ 14,524