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Accumulated Other Comprehensive Loss (Details) - USD ($)
$ in Thousands
Mar. 31, 2024
Mar. 31, 2023
Mar. 31, 2022
Mar. 31, 2021
Accumulated Other Comprehensive Income (Loss) [Line Items]        
Accumulated other comprehensive loss, net of tax $ 1,655,084 $ 1,447,084 $ 1,577,611 $ 1,358,298
Accumulated other comprehensive loss, tax (217) (214)    
Accumulated other comprehensive loss, net of tax        
Accumulated Other Comprehensive Income (Loss) [Line Items]        
Accumulated other comprehensive loss, net of tax (34,495) (31,564) $ (19,032) $ (19,801)
Cumulative translation adjustment        
Accumulated Other Comprehensive Income (Loss) [Line Items]        
Accumulated other comprehensive loss, net of tax (35,220) (32,280)    
Unrecognized net gain on pension plans, net of tax of $(217) and $(214), respectively        
Accumulated Other Comprehensive Income (Loss) [Line Items]        
Accumulated other comprehensive loss, net of tax $ 725 $ 716