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