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Stock Plans - Impact on Stock Compensation Expense for Changes in Senior Leadership (Details) - USD ($) $ in Thousands |  | 12 Months Ended
--- | --- | ---
Feb. 01, 2019 | Mar. 31, 2021 | Mar. 31, 2020 | Mar. 31, 2019
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |
Compensation expense |  | $ 84,833 | $ 65,888 | $ 80,487
Restricted stock awards and performance based awards | Chief executive officer |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |
Award expiration period |  |  |  | 10 years
Original period from last date of employment exercisable | 30 days |  |  |
Compensation expense |  |  |  | $ 12,157

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