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Shareholders' Equity (Accumulated Other Comprehensive Income (Loss)) (Details) - USD ($)
$ in Thousands
 12 Months Ended
Mar. 31, 2023
Mar. 31, 2022
Mar. 31, 2021
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning of the period $ 2,398,738 $ 2,261,789 $ 1,489,268
Other comprehensive income (loss) 3,846 4,792 11,745
End of the period balance 2,257,560 2,398,738 2,261,789
Currency Translation Adjustment      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning of the period (102,461)    
Other comprehensive income (loss) 1,592    
End of the period balance (100,869) (102,461)  
Defined Benefit Plans      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning of the period (3,495)    
Other comprehensive income (loss) 8,020    
End of the period balance 4,525 (3,495)  
Deferred Hedging Gains (Losses)      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning of the period 1,833    
Other comprehensive income (loss) (5,766)    
End of the period balance (3,933) 1,833  
Accumulated other comprehensive loss      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning of the period (104,123) (108,915) (120,660)
End of the period balance $ (100,277) $ (104,123) $ (108,915)