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Goodwill and Intangible Assets, Intangible Assets Excluding Goodwill (Details) - USD ($)
$ in Millions
12 Months Ended
Oct. 03, 2025
Sep. 27, 2024
Finite-Lived Intangible Assets [Line Items]    
Accumulated amortization $ (757.3) $ (589.5)
Total intangible assets, gross carrying amount 1,566.3 1,490.0
Total intangible assets, net carrying amount $ 809.0 900.5
Developed technology and other    
Finite-Lived Intangible Assets [Line Items]    
Weighted average amortization period (years) 6 years 4 months 24 days  
Finite-lived intangible assets, gross $ 1,396.5 1,379.6
Accumulated amortization (678.5) (540.7)
Net carrying amount $ 718.0 838.9
Technology licenses    
Finite-Lived Intangible Assets [Line Items]    
Weighted average amortization period (years) 3 years 1 month 6 days  
Finite-lived intangible assets, gross $ 167.0 75.0
Accumulated amortization (78.8) (48.8)
Net carrying amount 88.2 26.2
In-process research and development    
Finite-Lived Intangible Assets [Line Items]    
Indefinite-lived intangible assets, gross 2.8 35.4
Accumulated amortization 0.0 0.0
Net carrying amount $ 2.8 $ 35.4