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Summary of Significant Accounting Policies - Schedule of Intangible Assets (Detail) - USD ($)
$ in Millions
Sep. 29, 2018
Sep. 30, 2017
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value $ 5,571.8 $ 5,562.5
Accumulated Amortization 3,173.2 2,790.2
Developed technology    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value 4,573.3 4,528.7
Accumulated Amortization 2,505.8 2,186.8
In-process research and development    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value 5.5 46.0
Accumulated Amortization 0.0 0.0
Customer relationships    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value 556.5 552.8
Accumulated Amortization 428.1 393.8
Trade names    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value 312.5 310.3
Accumulated Amortization 175.0 156.4
Distribution agreement    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value 42.0 42.0
Accumulated Amortization 8.0 2.8
Non-competition agreements    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value 1.5 1.5
Accumulated Amortization 0.5 0.1
Business licenses    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value 2.4 2.4
Accumulated Amortization 2.2 2.2
Acquired intangible assets [Member]    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value 5,493.7 5,483.7
Accumulated Amortization 3,119.6 2,742.1
Internal-use software [Member]    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value 58.5 64.5
Accumulated Amortization 49.3 46.1
Capitalized software [Member]    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value 19.6 14.3
Accumulated Amortization $ 4.3 $ 2.0