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Income Taxes - Narrative (Details) - USD ($)
$ in Thousands
 3 Months Ended 9 Months Ended
Dec. 31, 2020
Dec. 31, 2019
Dec. 31, 2020
Dec. 31, 2019
Mar. 31, 2020
Operating Loss Carryforwards [Line Items]          
Provision for income taxes $ 72,334 $ 14,467 $ 142,638 $ 18,405  
Effective income tax rates 15.90% 11.00% 16.50% 7.20%  
Full statutory income tax rate 13.63%   13.63%    
Discrete tax benefits from recognition of excess tax benefits     $ 7,200 $ 6,000  
Reversal of uncertain tax positions     2,900 2,700  
Unrecognized tax benefits $ 158,800   158,800   $ 140,800
Accrued interest and penalties related to uncertain tax positions 4,700   4,700   4,500
Expected decrease in uncertain tax positions 4,400   4,400    
Non-current income tax payable          
Operating Loss Carryforwards [Line Items]          
Unrecognized tax benefits $ 60,800   $ 60,800   $ 40,800
SWITZERLAND          
Operating Loss Carryforwards [Line Items]          
Tax benefit from remeasurement of deferred income tax and benefit       $ 1,700