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Income Taxes (Details) - USD ($)
$ in Thousands
3 Months Ended 6 Months Ended
Sep. 30, 2021
Sep. 30, 2020
Sep. 30, 2021
Sep. 30, 2020
Mar. 31, 2021
Operating Loss Carryforwards [Line Items]          
Provision for income taxes $ 33,453 $ 56,301 $ 58,444 $ 70,304  
Effective income tax rates 19.30% 17.40% 15.20% 17.20%  
Discrete tax benefits from recognition of excess tax benefits $ 600 $ 800 $ 14,300 $ 5,800  
Reversal of uncertain tax positions 500 $ 500 1,500 $ 1,500  
Unrecognized tax benefits 170,200   170,200   $ 160,300
Accrued interest and penalties related to uncertain tax positions 5,500   5,500   4,900
Expected decrease in uncertain tax positions 4,900   4,900    
Non-current income tax payable          
Operating Loss Carryforwards [Line Items]          
Unrecognized tax benefits $ 67,700   $ 67,700   $ 59,200