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Shareholders' Equity - Components of Accumulated Other Comprehensive Income (Loss) (Details) - USD ($)
$ in Thousands
3 Months Ended 6 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2022
Sep. 30, 2021
Accumulated Other Comprehensive Income (Loss)        
Beginning of the period $ 2,362,358 $ 2,372,491 $ 2,398,738 $ 2,261,789
Other comprehensive income (loss) (18,160) (3,601) (34,871) (2,104)
End of the period 2,168,561 2,262,683 2,168,561 2,262,683
Cumulative Translation Adjustment        
Accumulated Other Comprehensive Income (Loss)        
Beginning of the period     (102,461)  
Other comprehensive income (loss)     (39,283)  
End of the period (141,744)   (141,744)  
Defined Benefit Plans        
Accumulated Other Comprehensive Income (Loss)        
Beginning of the period     (3,495)  
Other comprehensive income (loss)     (114)  
End of the period (3,609)   (3,609)  
Deferred Hedging Gains        
Accumulated Other Comprehensive Income (Loss)        
Beginning of the period     1,833  
Other comprehensive income (loss)     4,526  
End of the period 6,359   6,359  
Total        
Accumulated Other Comprehensive Income (Loss)        
Beginning of the period (120,834) (107,418) (104,123) (108,915)
End of the period $ (138,994) $ (111,019) $ (138,994) $ (111,019)