Intangible Assets and Goodwill - Schedule of Intangible Assets (Detail) - USD ($) $ in Millions	Dec. 28, 2024	Sep. 28, 2024
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value	$ 5,512.0	$ 5,518.0
Accumulated Amortization	4,718.7	4,673.4
Developed technology
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value	4,562.7	4,567.0
Accumulated Amortization	3,877.3	3,834.0
In-process research and development
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value	24.9	25.1
Accumulated Amortization	0.0	0.0
Customer relationships
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value	607.7	609.7
Accumulated Amortization	570.2	569.8
Trade names
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value	259.6	260.3
Accumulated Amortization	225.5	224.5
Total acquired intangible assets
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value	5,454.9	5,462.1
Accumulated Amortization	4,673.0	4,628.3
Internal-use software
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value	26.0	25.7
Accumulated Amortization	20.8	20.5
Capitalized software embedded in products
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value	31.1	30.2
Accumulated Amortization	$ 24.9	$ 24.6