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Intangible Assets and Goodwill - Schedule of Intangible Assets (Detail) - USD ($) $ in Millions | Dec. 30, 2023 | Sep. 30, 2023
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Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value | $ 5,352.1 | $ 5,342.0
Accumulated Amortization | 4,519.4 | 4,453.4
Developed technology |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value | 4,419.7 | 4,411.0
Accumulated Amortization | 3,698.9 | 3,649.5
In-process research and development |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value | 22.4 | 25.7
Accumulated Amortization | 0.0 | 0.0
Customer relationships |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value | 602.6 | 600.0
Accumulated Amortization | 559.6 | 550.6
Trade names |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value | 254.1 | 253.6
Accumulated Amortization | 219.0 | 212.8
Total acquired intangible assets |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value | 5,298.8 | 5,290.3
Accumulated Amortization | 4,477.5 | 4,412.9
Internal-use software |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value | 24.9 | 24.0
Accumulated Amortization | 18.7 | 17.8
Capitalized software embedded in products |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value | 28.4 | 27.7
Accumulated Amortization | $ 23.2 | $ 22.7

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