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Significant Accounting Policies - Share-based Compensation (Details) - USD ($)
3 Months Ended 6 Months Ended 12 Months Ended
Sep. 30, 2019
Sep. 30, 2018
Sep. 30, 2019
Sep. 30, 2018
Mar. 31, 2019
Mar. 31, 2018
Mar. 31, 2017
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Total compensation expense $ 154,746,000 $ 23,030,000 $ 196,171,000 $ 36,228,000 $ 71,151,000 $ 22,294,000 $ 349,000
MIUs              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Distributions during the period (in shares)         0 0 0
Appreciation Unit              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Distributions during the period (in shares)         0 0 0
Management Incentive Units and Appreciation Units              
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]              
Total compensation expense $ 145,300,000       $ 71,200,000 $ 22,300,000 $ 300,000
Income tax benefit recognized on shares-based compensation arrangements         $ 4,800,000 $ 700,000 $ 0