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Intangible Assets and Goodwill - Intangible Assets, by Major Class (Details) - USD ($)
$ in Millions
12 Months Ended
Mar. 31, 2021
Mar. 31, 2020
Finite-Lived Intangible Assets [Line Items]    
Accumulated Amortization $ (3,549.6) $ (2,668.0)
Gross Amount 8,344.4 8,370.3
Net Amount 4,794.8 5,702.3
Projected Amortization Expense    
2022 912.0  
2023 707.2  
2024 627.7  
2025 508.1  
2026 $ 445.3  
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 7,371.3 7,331.9
Accumulated Amortization (2,771.0) (1,924.6)
Net Amount 4,600.3 5,407.3
Customer-related    
Finite-Lived Intangible Assets [Line Items]    
Gross Amount 835.2 903.6
Accumulated Amortization (702.6) (674.7)
Net Amount 132.6 228.9
Distribution rights and other    
Finite-Lived Intangible Assets [Line Items]    
Gross Amount 130.2 126.0
Accumulated Amortization (76.0) (68.7)
Net Amount $ 54.2 $ 57.3