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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, 2023
Sep. 30, 2022
Sep. 30, 2023
Sep. 30, 2022
Accumulated Other Comprehensive Income (Loss)        
Beginning of the period $ 2,226,075 $ 2,362,358 $ 2,257,560 $ 2,398,738
Other comprehensive income (loss) (7,418) (18,160) (6,669) (34,871)
End of the period 2,077,265 2,168,561 2,077,265 2,168,561
Total        
Accumulated Other Comprehensive Income (Loss)        
Beginning of the period (99,528) (120,834) (100,277) (104,123)
Other comprehensive income (loss)     (6,669)  
End of the period (106,946) $ (138,994) (106,946) $ (138,994)
Cumulative Translation Adjustment        
Accumulated Other Comprehensive Income (Loss)        
Beginning of the period     (100,869)  
Other comprehensive income (loss)     (12,151)  
End of the period (113,020)   (113,020)  
Defined Benefit Plans        
Accumulated Other Comprehensive Income (Loss)        
Beginning of the period     4,525  
Other comprehensive income (loss)     (248)  
End of the period 4,277   4,277  
Deferred Hedging Gains (Losses)        
Accumulated Other Comprehensive Income (Loss)        
Beginning of the period     (3,933)  
Other comprehensive income (loss)     5,730  
End of the period $ 1,797   $ 1,797