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Intangible Assets and Goodwill - Amortization of Intangible Assets (Details) - USD ($)
12 Months Ended
Mar. 31, 2023
Mar. 31, 2022
Mar. 31, 2021
Finite-Lived Intangible Assets [Line Items]      
Total amortization expense $ 753,700,000 $ 934,400,000 $ 992,700,000
Impairment of intangible assets 1,800,000 3,000,000.0 0
Amortization expense charged to cost of sales      
Finite-Lived Intangible Assets [Line Items]      
Total amortization expense 15,800,000 12,400,000 9,400,000
Amortization expense charged to operating expense      
Finite-Lived Intangible Assets [Line Items]      
Total amortization expense $ 737,900,000 $ 922,000,000.0 $ 983,300,000