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Intangible Assets and Goodwill - Amortization of Intangible Assets (Details) - USD ($)
3 Months Ended 9 Months Ended
Dec. 31, 2019
Dec. 31, 2018
Dec. 31, 2019
Dec. 31, 2018
Finite-Lived Intangible Assets [Line Items]        
Total amortization expense $ 258,600,000 $ 196,900,000 $ 777,600,000 $ 505,500,000
Impairment of intangible assets 0 0 500,000 3,100,000
Amortization expense charged to cost of sales        
Finite-Lived Intangible Assets [Line Items]        
Total amortization expense 2,500,000 1,800,000 7,100,000 4,900,000
Amortization expense charged to operating expense        
Finite-Lived Intangible Assets [Line Items]        
Total amortization expense $ 256,100,000 $ 195,100,000 $ 770,500,000 $ 500,600,000