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Intangible Assets, by Major Class (Details) - USD ($)
$ in Millions
12 Months Ended
Mar. 31, 2018
Mar. 31, 2017
Mar. 31, 2016
Finite-Lived Intangible Assets [Line Items]      
Gross Amount $ 2,683.1 $ 2,706.5  
Accumulated Amortization (1,021.1) (558.4)  
Net Amount 1,662.0 2,148.1  
In-Process Technology Reaching Technological Feasibility And Reclassified 26.2    
Projected Amortization Expense      
2019 362.8    
2020 314.6    
2021 259.3    
2022 192.5    
2023 143.7    
Amortization of acquired intangible assets 492.2 346.3 $ 179.3
Impairment of intangible assets 0.5 11.9 0.6
Cost of Sales      
Projected Amortization Expense      
Amortization of acquired intangible assets 6.1 4.0 3.6
Operating Expense      
Projected Amortization Expense      
Amortization of acquired intangible assets $ 486.1 342.3 $ 175.7
Minimum      
Finite-Lived Intangible Assets [Line Items]      
Useful life (in years) 1 year    
Maximum      
Finite-Lived Intangible Assets [Line Items]      
Useful life (in years) 15 years    
Core and developed technology      
Finite-Lived Intangible Assets [Line Items]      
Gross Amount $ 1,952.3 1,932.3  
Accumulated Amortization (644.4) (419.5)  
Net Amount 1,307.9 1,512.8  
Purchased intangible assets $ 7.1    
Acquired finite-lived intangible assets, weighted average useful life (in years) 9 years    
Customer-related      
Finite-Lived Intangible Assets [Line Items]      
Gross Amount $ 716.9 716.9  
Accumulated Amortization (375.9) (123.6)  
Net Amount 341.0 593.3  
Trademarks and trade names      
Finite-Lived Intangible Assets [Line Items]      
Gross Amount   11.7  
Accumulated Amortization   (9.6)  
Net Amount   2.1  
In-process research and development      
Finite-Lived Intangible Assets [Line Items]      
Gross Amount 12.1 38.5  
Accumulated Amortization 0.0 0.0  
Net Amount 12.1 38.5  
Distribution rights      
Finite-Lived Intangible Assets [Line Items]      
Gross Amount 0.3 5.6  
Accumulated Amortization (0.1) (5.3)  
Net Amount 0.2 0.3  
Other intangible assets      
Finite-Lived Intangible Assets [Line Items]      
Gross Amount 1.5 1.5  
Accumulated Amortization (0.7) (0.4)  
Net Amount $ 0.8 $ 1.1