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Goodwill and Other Intangible Assets, net - Schedule of Intangible Assets (Details) - USD ($)
$ in Thousands
12 Months Ended
Mar. 31, 2020
Mar. 31, 2019
Finite-Lived Intangible Assets [Line Items]    
Total intangible assets $ 596,112 $ 595,166
Less: accumulated amortization (394,520) (336,043)
Total other intangible assets, net $ 201,592 259,123
Capitalized software    
Finite-Lived Intangible Assets [Line Items]    
Weighted Average Useful Life (in months) 107 months  
Total intangible assets $ 189,554 188,608
Customer relationships    
Finite-Lived Intangible Assets [Line Items]    
Weighted Average Useful Life (in months) 120 months  
Total intangible assets $ 351,555 351,555
Trademarks and tradenames    
Finite-Lived Intangible Assets [Line Items]    
Weighted Average Useful Life (in months) 120 months  
Total intangible assets $ 55,003 $ 55,003