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Shareholders' Equity (Accumulated Other Comprehensive Income (Loss)) (Details) - USD ($)
$ in Thousands
 12 Months Ended
Mar. 31, 2025
Mar. 31, 2024
Mar. 31, 2023
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning of the period $ 2,233,653 $ 2,257,560 $ 2,398,738
Other comprehensive income (loss) (35,750) (10,925) 3,846
End of the period balance 2,127,420 2,233,653 2,257,560
Accumulated other comprehensive loss      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning of the period (111,202) (100,277) (104,123)
End of the period balance (146,952) (111,202) $ (100,277)
Currency Translation Adjustment      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning of the period (103,947)    
Other comprehensive income (loss) (14,705)    
End of the period balance (118,652) (103,947)  
Defined Benefit Plans      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning of the period (8,395)    
Other comprehensive income (loss) (16,881)    
End of the period balance (25,276) (8,395)  
Deferred Hedging Gains (Losses)      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Beginning of the period 1,140    
Other comprehensive income (loss) (4,164)    
End of the period balance $ (3,024) $ 1,140