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Income Taxes (Details) - USD ($)
$ in Thousands
 3 Months Ended 9 Months Ended
Dec. 31, 2021
Dec. 31, 2020
Dec. 31, 2021
Dec. 31, 2020
Mar. 31, 2021
Operating Loss Carryforwards [Line Items]          
Provision for income taxes $ 49,345 $ 72,334 $ 107,789 $ 142,638  
Effective income tax rates (as a percent) 19.00% 15.90% 16.70% 16.50%  
Discrete tax benefits from recognition of excess tax benefits $ 800 $ 1,300 $ 15,200 $ 7,200  
Reversal of uncertain tax positions 1,300 $ 1,400 2,800 $ 2,900  
Unrecognized tax benefits 178,600   178,600   $ 160,300
Accrued interest and penalties related to uncertain tax positions 5,700   5,700   4,900
Expected decrease in uncertain tax positions 5,200   5,200    
Non-current income tax payable          
Operating Loss Carryforwards [Line Items]          
Unrecognized tax benefits $ 85,600   $ 85,600   $ 59,200