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Goodwill and Other Intangible Assets, Net - Schedule of Intangible Assets (Details) - USD ($)
$ in Thousands
9 Months Ended
Dec. 31, 2021
Mar. 31, 2021
Finite-Lived Intangible Assets [Line Items]    
Total intangible assets $ 599,094 $ 595,956
Less: accumulated amortization (481,186) (446,472)
Total other intangible assets, net $ 117,908 149,484
Capitalized software    
Finite-Lived Intangible Assets [Line Items]    
Weighted Average  Useful Life (in months) 107 years  
Total intangible assets $ 192,536 189,398
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