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Shareholders' Equity - Components of Accumulated Other Comprehensive Loss (Details) - USD ($)
$ in Thousands
 3 Months Ended 6 Months Ended
Sep. 30, 2025
Sep. 30, 2024
Sep. 30, 2025
Sep. 30, 2024
Accumulated Other Comprehensive Income (Loss)        
Beginning of the period $ 2,187,252 $ 2,248,935 $ 2,127,420 $ 2,233,653
Other comprehensive income (loss) 3,669 16,400 20,458 11,830
End of the period 2,083,013 2,111,894 2,083,013 2,111,894
Total        
Accumulated Other Comprehensive Income (Loss)        
Beginning of the period (130,163) (115,772) (146,952) (111,202)
End of the period (126,494) $ (99,372) (126,494) $ (99,372)
Currency Translation Adjustment        
Accumulated Other Comprehensive Income (Loss)        
Beginning of the period     (118,652)  
Other comprehensive income (loss)     24,605  
End of the period (94,047)   (94,047)  
Defined Benefit Plans        
Accumulated Other Comprehensive Income (Loss)        
Beginning of the period     (25,276)  
Other comprehensive income (loss)     (350)  
End of the period (25,626)   (25,626)  
Deferred Hedging Losses        
Accumulated Other Comprehensive Income (Loss)        
Beginning of the period     (3,024)  
Other comprehensive income (loss)     (3,797)  
End of the period $ (6,821)   $ (6,821)