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Intangible Assets and Goodwill - Schedule of Intangible Assets (Detail) - USD ($) $ in Millions | Jun. 28, 2025 | Sep. 28, 2024
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Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value | $ 5,463.0 | $ 5,518.0
Accumulated Amortization | 4,820.8 | 4,673.4
Developed technology |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value | 4,544.7 | 4,567.0
Accumulated Amortization | 3,974.4 | 3,834.0
In-process research and development |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value | 8.2 | 25.1
Accumulated Amortization | 0.0 | 0.0
Customer relationships |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value | 593.7 | 609.7
Accumulated Amortization | 576.5 | 569.8
Trade names |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value | 262.9 | 260.3
Accumulated Amortization | 228.1 | 224.5
Total acquired intangible assets |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value | 5,409.5 | 5,462.1
Accumulated Amortization | 4,779.0 | 4,628.3
Internal-use software |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value | 21.0 | 25.7
Accumulated Amortization | 15.9 | 20.5
Capitalized software embedded in products |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value | 32.5 | 30.2
Accumulated Amortization | $ 25.9 | $ 24.6

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