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Intangible Assets and Goodwill - Schedule of Intangible Assets (Detail) - USD ($)
$ in Millions
Mar. 31, 2018
Sep. 30, 2017
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value $ 5,529.9 $ 5,562.5
Accumulated Amortization 2,985.9 2,790.2
Developed technology    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value 4,528.9 4,528.7
Accumulated Amortization 2,346.7 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 559.9 552.8
Accumulated Amortization 412.4 393.8
Trade names    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value 310.4 310.3
Accumulated Amortization 165.8 156.4
Distribution agreement    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value 42.0 42.0
Accumulated Amortization 5.4 2.8
Non-competition agreements    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value 1.6 1.5
Accumulated Amortization 0.2 0.1
Business licenses    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value 2.6 2.4
Accumulated Amortization 2.3 2.2
Acquired intangible assets [Member]    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value 5,445.4 5,483.7
Accumulated Amortization 2,932.8 2,742.1
Internal-use software [Member]    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value 67.8 64.5
Accumulated Amortization 50.0 46.1
Capitalized software [Member]    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value 16.7 14.3
Accumulated Amortization $ 3.1 $ 2.0