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Intangible Assets and Goodwill - Intangible Assets, by Major Class (Details) - USD ($)
$ in Millions
9 Months Ended
Dec. 31, 2019
Mar. 31, 2019
Finite-Lived Intangible Assets [Line Items]    
Gross Amount $ 8,361.1 $ 8,345.4
Accumulated Amortization (2,421.6) (1,659.8)
Net Amount 5,939.5 6,685.6
Projected Amortization Expense    
2020 259.0  
2021 972.9  
2022 902.2  
2023 708.4  
2024 $ 616.3  
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 $ 7,345.0 7,339.2
Accumulated Amortization (1,733.8) (1,102.2)
Net Amount 5,611.2 6,237.0
Customer-related    
Finite-Lived Intangible Assets [Line Items]    
Gross Amount 916.7 917.1
Accumulated Amortization (651.7) (544.0)
Net Amount 265.0 373.1
In-process research and development    
Finite-Lived Intangible Assets [Line Items]    
Gross Amount 8.8 7.7
Accumulated Amortization 0.0 0.0
Net Amount 8.8 7.7
Distribution rights and other    
Finite-Lived Intangible Assets [Line Items]    
Gross Amount 90.6 81.4
Accumulated Amortization (36.1) (13.6)
Net Amount $ 54.5 $ 67.8