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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, 2023
Mar. 31, 2022
Mar. 31, 2021
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]      
Summary of share-based compensation expense $ 3,188 $ 10,030 $ 35,808
Total intrinsic value of SSARs exercised 28,025 34,437 25,153
Total fair value of SSARs vesting $ 13,037 $ 6,439 $ 31,380