Intangible Assets and Goodwill - Schedule of Intangible Assets (Detail) - USD ($) $ in Millions	Jul. 01, 2023	Sep. 24, 2022
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value	$ 5,371.9	$ 5,518.2
Accumulated Amortization	4,431.8	4,237.6
Developed technology
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value	4,438.1	4,565.6
Accumulated Amortization	3,626.2	3,458.2
In-process research and development
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value	26.5	33.0
Accumulated Amortization	0.0	0.0
Customer relationships
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value	595.9	601.9
Accumulated Amortization	549.3	535.6
Trade names
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value	255.1	265.2
Accumulated Amortization	211.9	203.3
Total acquired intangible assets
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value	5,315.6	5,465.7
Accumulated Amortization	4,387.4	4,197.1
Internal-use software
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value	29.2	26.0
Accumulated Amortization	22.2	19.9
Capitalized software embedded in products
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Value	27.1	26.5
Accumulated Amortization	$ 22.2	$ 20.6