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Share-based Compensation - Additional Information Related to SSARs (Details) - Stock Settled Stock Appreciation Rights (SSARS) [Member] - USD ($)
$ in Thousands
12 Months Ended
Mar. 31, 2021
Mar. 31, 2020
Mar. 31, 2019
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]      
Summary of share-based compensation expense for options $ 35,808 $ 1,666 $ 943
Total intrinsic value of SSARs exercised 25,153 519 907
Total fair value of SSARs vesting $ 31,380 $ 1,328 $ 1,165