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Shareholders' Equity (Accumulated Other Comprehensive Income (Loss)) (Details) - USD ($)
$ in Thousands
 12 Months Ended
Mar. 31, 2024
Mar. 31, 2023
Mar. 31, 2022
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning of the period $ 2,257,560 $ 2,398,738 $ 2,261,789
Other comprehensive income (loss) (10,925) 3,846 4,792
End of the period balance 2,233,653 2,257,560 2,398,738
Currency Translation Adjustment      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning of the period (100,869)    
Other comprehensive income (loss) (3,078)    
End of the period balance (103,947) (100,869)  
Defined Benefit Plans      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning of the period 4,525    
Other comprehensive income (loss) (12,920)    
End of the period balance (8,395) 4,525  
Deferred Hedging Gains (Losses)      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning of the period (3,933)    
Other comprehensive income (loss) 5,073    
End of the period balance 1,140 (3,933)  
Accumulated other comprehensive loss      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning of the period (100,277) (104,123) (108,915)
End of the period balance $ (111,202) $ (100,277) $ (104,123)