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Accumulated Other Comprehensive Loss (Details) - USD ($)
12 Months Ended
Mar. 31, 2020
Mar. 31, 2019
Mar. 31, 2018
Mar. 31, 2017
Accumulated Other Comprehensive Income (Loss) [Line Items]        
Components of Accumulated Other Comprehensive Loss $ 1,170,971,000 $ 1,095,831,000 $ 1,178,610,000 $ 822,549,000
Reclassification from AOCI 0 0    
Other Comprehensive Income (Loss), Defined Benefit Plan, Gain (Loss) Arising During Period, Tax (17,000) 338,000    
Other Comprehensive Income (Loss), Cash Flow Hedge, Gain (Loss), Reclassification, Tax 1,453,000 0    
Accumulated other comprehensive loss, net of tax        
Accumulated Other Comprehensive Income (Loss) [Line Items]        
Components of Accumulated Other Comprehensive Loss (44,161,000) (25,747,000) $ (19,315,000) $ (26,352,000)
Cumulative translation adjustment        
Accumulated Other Comprehensive Income (Loss) [Line Items]        
Components of Accumulated Other Comprehensive Loss (39,241,000) (26,878,000)    
Unrealized loss on interest rate swaps, net of tax of $1,453        
Accumulated Other Comprehensive Income (Loss) [Line Items]        
Components of Accumulated Other Comprehensive Loss (4,864,000) 0    
Unrecognized net (loss) gain on pension plans, net of tax of $(17) and $338, respectively        
Accumulated Other Comprehensive Income (Loss) [Line Items]        
Components of Accumulated Other Comprehensive Loss $ (56,000) $ 1,131,000