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Intangible Assets and Goodwill - Schedule of Intangible Assets (Detail) - USD ($)
$ in Millions
Jun. 30, 2018
Sep. 30, 2017
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value $ 5,530.0 $ 5,562.5
Accumulated Amortization 3,081.0 2,790.2
Developed technology    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value 4,528.8 4,528.7
Accumulated Amortization 2,425.8 2,186.8
In-process research and development    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value 0.0 46.0
Accumulated Amortization 0.0 0.0
Customer relationships    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value 557.4 552.8
Accumulated Amortization 420.0 393.8
Trade names    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value 310.3 310.3
Accumulated Amortization 170.4 156.4
Distribution agreement    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value 42.0 42.0
Accumulated Amortization 6.7 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
Total acquired intangible assets    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value 5,442.4 5,483.7
Accumulated Amortization 3,025.6 2,742.1
Internal-use software    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value 69.3 64.5
Accumulated Amortization 51.7 46.1
Capitalized software embedded in products    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value 18.3 14.3
Accumulated Amortization $ 3.7 $ 2.0