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Goodwill and Other Intangible Assets, net - Schedule of Intangible Assets (Details) - USD ($)
$ in Thousands
6 Months Ended 12 Months Ended
Sep. 30, 2019
Mar. 31, 2019
Mar. 31, 2018
Finite-Lived Intangible Assets [Line Items]      
Total intangible assets $ 595,733 $ 595,166 $ 593,366
Less: accumulated amortization (365,853) (336,043) (263,251)
Total intangible assets, net $ 229,880 $ 259,123 330,115
Capitalized software      
Finite-Lived Intangible Assets [Line Items]      
Weighted Average Useful Life (in months) 109 months 109 months  
Total intangible assets $ 189,175 $ 188,608 186,808
Customer relationships      
Finite-Lived Intangible Assets [Line Items]      
Weighted Average Useful Life (in months) 120 months 120 months  
Total intangible assets $ 351,555 $ 351,555 351,555
Trademarks and tradenames      
Finite-Lived Intangible Assets [Line Items]      
Weighted Average Useful Life (in months) 120 months 120 months  
Total intangible assets $ 55,003 $ 55,003 $ 55,003