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Intangible Assets and Goodwill - Intangible Assets, by Major Class (Details) - USD ($)
$ in Millions
6 Months Ended
Sep. 30, 2019
Mar. 31, 2019
Finite-Lived Intangible Assets [Line Items]    
Gross Amount $ 8,358.7 $ 8,345.4
Accumulated Amortization (2,171.4) (1,659.8)
Net Amount 6,187.3 6,685.6
Projected Amortization Expense    
2020 516.1  
2021 970.1  
2022 894.9  
2023 682.7  
2024 $ 616.0  
Minimum    
Projected Amortization Expense    
Useful life (in years) 1 year  
Maximum    
Projected Amortization Expense    
Useful life (in years) 15 years  
Core and developed technology    
Finite-Lived Intangible Assets [Line Items]    
Gross Amount $ 7,347.4 7,339.2
Accumulated Amortization (1,526.2) (1,102.2)
Net Amount 5,821.2 6,237.0
Customer-related    
Finite-Lived Intangible Assets [Line Items]    
Gross Amount 917.1 917.1
Accumulated Amortization (616.1) (544.0)
Net Amount 301.0 373.1
In-process research and development    
Finite-Lived Intangible Assets [Line Items]    
Gross Amount 9.6 7.7
Accumulated Amortization 0.0 0.0
Net Amount 9.6 7.7
Distribution rights and other    
Finite-Lived Intangible Assets [Line Items]    
Gross Amount 84.6 81.4
Accumulated Amortization (29.1) (13.6)
Net Amount $ 55.5 $ 67.8