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Intangible Assets and Goodwill - Intangible Assets, by Major Class (Details) - USD ($)
$ in Millions
9 Months Ended
Dec. 31, 2020
Mar. 31, 2020
Finite-Lived Intangible Assets [Line Items]    
Accumulated Amortization $ (3,305.6) $ (2,668.0)
Gross Amount 8,331.4 8,370.3
Net Amount 5,025.8 5,702.3
Projected Amortization Expense    
2021 247.9  
2022 911.8  
2023 707.0  
2024 626.2  
2025 $ 508.9  
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 $ 7.7 8.8
Core and developed technology    
Finite-Lived Intangible Assets [Line Items]    
Gross Amount 7,362.4 7,331.9
Accumulated Amortization (2,558.5) (1,924.6)
Net Amount 4,803.9 5,407.3
Customer-related    
Finite-Lived Intangible Assets [Line Items]    
Gross Amount 835.2 903.6
Accumulated Amortization (679.7) (674.7)
Net Amount 155.5 228.9
Distribution rights and other    
Finite-Lived Intangible Assets [Line Items]    
Gross Amount 126.1 126.0
Accumulated Amortization (67.4) (68.7)
Net Amount $ 58.7 $ 57.3