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Goodwill and Other Intangible Assets, Net - Narrative (Details) - USD ($)
$ in Thousands
12 Months Ended
Mar. 31, 2020
Mar. 31, 2019
Mar. 31, 2018
Goodwill and Intangible Assets Disclosure [Abstract]      
Amortization of other intangibles $ 58,457 $ 72,792 $ 73,455