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Accumulated Other Comprehensive Loss (Details) - USD ($)
$ in Thousands
12 Months Ended
Mar. 31, 2019
Mar. 31, 2018
Mar. 31, 2017
Mar. 31, 2016
Accumulated Other Comprehensive Income (Loss) [Line Items]        
Components of Accumulated Other Comprehensive Loss $ 1,095,831 $ 1,178,610 $ 822,549 $ 744,336
Reclassification from AOCI 0 0    
Accumulated other comprehensive loss, net of tax        
Accumulated Other Comprehensive Income (Loss) [Line Items]        
Components of Accumulated Other Comprehensive Loss (25,747) (19,315) $ (26,352) $ (23,525)
Cumulative translation adjustment        
Accumulated Other Comprehensive Income (Loss) [Line Items]        
Components of Accumulated Other Comprehensive Loss (26,878) (20,398)    
Unrecognized net gain on pension plans        
Accumulated Other Comprehensive Income (Loss) [Line Items]        
Components of Accumulated Other Comprehensive Loss $ 1,131 $ 1,083