Intangible Assets and Goodwill - Schedule of Intangible Assets (Detail) - USD ($) $ in Millions	Mar. 29, 2025	Sep. 28, 2024
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