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Intangible Assets and Goodwill - Schedule of Intangible Assets (Detail) - USD ($) $ in Millions | Mar. 30, 2024 | Sep. 30, 2023
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Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value | $ 5,319.8 | $ 5,342.0
Accumulated Amortization | 4,567.9 | 4,453.4
Developed technology |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value | 4,389.4 | 4,411.0
Accumulated Amortization | 3,742.2 | 3,649.5
In-process research and development |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value | 21.9 | 25.7
Accumulated Amortization | 0.0 | 0.0
Customer relationships |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value | 601.0 | 600.0
Accumulated Amortization | 561.7 | 550.6
Trade names |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value | 253.0 | 253.6
Accumulated Amortization | 221.0 | 212.8
Total acquired intangible assets |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value | 5,265.3 | 5,290.3
Accumulated Amortization | 4,524.9 | 4,412.9
Internal-use software |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value | 25.5 | 24.0
Accumulated Amortization | 19.4 | 17.8
Capitalized software embedded in products |  |
Finite-Lived Intangible Assets [Line Items] |  |
Gross Carrying Value | 29.0 | 27.7
Accumulated Amortization | $ 23.6 | $ 22.7

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