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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

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