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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