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Intangible Assets and Goodwill - Intangible Assets, by Major Class (Details) - USD ($)
$ in Millions
12 Months Ended
Mar. 31, 2020
Mar. 31, 2019
Finite-Lived Intangible Assets [Line Items]    
Accumulated Amortization $ (2,668.0) $ (1,659.8)
Gross Amount 8,370.3 8,345.4
Net Amount 5,702.3 6,685.6
Projected Amortization Expense    
2021 985.8  
2022 903.3  
2023 693.1  
2024 617.6  
2025 $ 501.4  
Minimum    
Projected Amortization Expense    
Useful life 1 year  
Maximum    
Projected Amortization Expense    
Useful life 15 years  
In-process research and development    
Indefinite-lived Intangible Assets [Line Items]    
In-process research and development $ 8.8 7.7
Core and developed technology    
Finite-Lived Intangible Assets [Line Items]    
Gross Amount 7,331.9 7,339.2
Accumulated Amortization (1,924.6) (1,102.2)
Net Amount 5,407.3 6,237.0
Customer-related    
Finite-Lived Intangible Assets [Line Items]    
Gross Amount 903.6 917.1
Accumulated Amortization (674.7) (544.0)
Net Amount 228.9 373.1
Distribution rights and other    
Finite-Lived Intangible Assets [Line Items]    
Gross Amount 126.0 81.4
Accumulated Amortization (68.7) (13.6)
Net Amount $ 57.3 $ 67.8