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Intangible Assets and Goodwill - Amortization of Intangible Assets (Details) - USD ($)
3 Months Ended 6 Months Ended
Sep. 30, 2021
Sep. 30, 2020
Sep. 30, 2021
Sep. 30, 2020
Finite-Lived Intangible Assets [Line Items]        
Total amortization expense $ 233,800,000 $ 246,800,000 $ 464,800,000 $ 498,500,000
Impairment of intangible assets 0 0 0 0
Amortization expense charged to cost of sales        
Finite-Lived Intangible Assets [Line Items]        
Total amortization expense 3,200,000 2,600,000 5,900,000 4,500,000
Amortization expense charged to operating expense        
Finite-Lived Intangible Assets [Line Items]        
Total amortization expense $ 230,600,000 $ 244,200,000 $ 458,900,000 $ 494,000,000.0