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Intangible Assets and Goodwill - Schedule of Intangible Assets (Detail) - USD ($) $ in Millions | Dec. 28, 2024 | Sep. 28, 2024
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Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value | $ 5,512.0 | $ 5,518.0
Accumulated Amortization | 4,718.7 | 4,673.4
Developed technology |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value | 4,562.7 | 4,567.0
Accumulated Amortization | 3,877.3 | 3,834.0
In-process research and development |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value | 24.9 | 25.1
Accumulated Amortization | 0.0 | 0.0
Customer relationships |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value | 607.7 | 609.7
Accumulated Amortization | 570.2 | 569.8
Trade names |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value | 259.6 | 260.3
Accumulated Amortization | 225.5 | 224.5
Total acquired intangible assets |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value | 5,454.9 | 5,462.1
Accumulated Amortization | 4,673.0 | 4,628.3
Internal-use software |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value | 26.0 | 25.7
Accumulated Amortization | 20.8 | 20.5
Capitalized software embedded in products |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value | 31.1 | 30.2
Accumulated Amortization | $ 24.9 | $ 24.6

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