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Intangible Assets and Goodwill - Schedule of Intangible Assets (Detail) - USD ($) $ in Millions | Mar. 29, 2025 | Sep. 28, 2024
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Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value | $ 5,448.5 | $ 5,518.0
Accumulated Amortization | 4,774.7 | 4,673.4
Developed technology |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value | 4,528.7 | 4,567.0
Accumulated Amortization | 3,928.2 | 3,834.0
In-process research and development |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value | 8.0 | 25.1
Accumulated Amortization | 0.0 | 0.0
Customer relationships |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value | 591.4 | 609.7
Accumulated Amortization | 573.3 | 569.8
Trade names |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value | 262.3 | 260.3
Accumulated Amortization | 226.8 | 224.5
Total acquired intangible assets |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value | 5,390.4 | 5,462.1
Accumulated Amortization | 4,728.3 | 4,628.3
Internal-use software |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value | 26.3 | 25.7
Accumulated Amortization | 21.1 | 20.5
Capitalized software embedded in products |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value | 31.8 | 30.2
Accumulated Amortization | $ 25.3 | $ 24.6

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