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Intangible Assets and Goodwill - Schedule of Intangible Assets (Detail) - USD ($)
$ in Millions
Mar. 27, 2021
Sep. 26, 2020
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value $ 5,224.9 $ 4,931.1
Accumulated Amortization 3,777.3 3,623.6
Developed technology    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value 4,320.3 4,054.0
Accumulated Amortization 3,033.9 2,907.2
Customer relationships    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value 570.9 549.1
Accumulated Amortization 493.9 477.8
Trade names    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value 248.6 245.5
Accumulated Amortization 186.2 181.2
Non-competition agreements    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value 1.5 1.5
Accumulated Amortization 1.5 1.3
Business licenses    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value 2.5 2.4
Accumulated Amortization 2.5 2.3
Total acquired intangible assets    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value 5,143.8 4,852.5
Accumulated Amortization 3,718.0 3,569.8
Internal-use software    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value 55.2 51.8
Accumulated Amortization 46.8 43.2
Capitalized software embedded in products    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Value 25.9 26.8
Accumulated Amortization $ 12.5 $ 10.6