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Shareholders' Equity (Accumulated Other Comprehensive Income (Loss)) (Details) - USD ($)
$ in Thousands
12 Months Ended
Mar. 31, 2022
Mar. 31, 2021
Mar. 31, 2020
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning of the period $ 2,261,789 $ 1,489,268 $ 1,176,339
Other comprehensive income (loss) 4,792 11,745 (14,962)
End of the period balance 2,398,738 2,261,789 1,489,268
Cumulative Translation Adjustment      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning of the period (89,461)    
Other comprehensive income (loss) (13,000)    
End of the period balance (102,461) (89,461)  
Defined Benefit Plan      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning of the period (23,200)    
Other comprehensive income (loss) 19,705    
End of the period balance (3,495) (23,200)  
Deferred Hedging Gains (Losses)      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning of the period 3,746    
Other comprehensive income (loss) (1,913)    
End of the period balance 1,833 3,746  
Accumulated other comprehensive loss      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning of the period (108,915) (120,660) (105,698)
End of the period balance $ (104,123) $ (108,915) $ (120,660)