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Shareholders' Equity - Components of Accumulated Other Comprehensive Income (Loss) (Details) - USD ($)
$ in Thousands
 3 Months Ended 9 Months Ended
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2023
Dec. 31, 2022
Accumulated Other Comprehensive Income (Loss)        
Beginning of the period $ 2,077,265 $ 2,168,561 $ 2,257,560 $ 2,398,738
Other comprehensive income 22,417 22,026 15,748 (12,845)
End of the period 2,190,101 2,258,666 2,190,101 2,258,666
Total        
Accumulated Other Comprehensive Income (Loss)        
Beginning of the period (106,946) (138,994) (100,277) (104,123)
Other comprehensive income     15,748  
End of the period (84,529) $ (116,968) (84,529) $ (116,968)
Cumulative Translation Adjustment        
Accumulated Other Comprehensive Income (Loss)        
Beginning of the period     (100,869)  
Other comprehensive income     13,168  
End of the period (87,701)   (87,701)  
Defined Benefit Plans        
Accumulated Other Comprehensive Income (Loss)        
Beginning of the period     4,525  
Other comprehensive income     252  
End of the period 4,777   4,777  
Deferred Hedging Losses        
Accumulated Other Comprehensive Income (Loss)        
Beginning of the period     (3,933)  
Other comprehensive income     2,328  
End of the period $ (1,605)   $ (1,605)