Intangible Assets and Goodwill - Amortization of Intangible Assets (Details) - USD ($)	12 Months Ended
	Mar. 31, 2021	Mar. 31, 2020	Mar. 31, 2019
Finite-Lived Intangible Assets [Line Items]
Total amortization expense	$ 992,700,000	$ 1,046,700,000	$ 695,800,000
Impairment of intangible assets	0	2,200,000	3,100,000
Amortization expense charged to cost of sales
Finite-Lived Intangible Assets [Line Items]
Total amortization expense	9,400,000	8,900,000	9,600,000
Amortization expense charged to operating expense
Finite-Lived Intangible Assets [Line Items]
Total amortization expense	$ 983,300,000	$ 1,037,800,000	$ 686,200,000