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Goodwill and Intangible Assets (Changes in Goodwill) (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 29, 2023
Sep. 30, 2022
Oct. 01, 2021
Goodwill [Roll Forward]      
Goodwill at beginning of the period $ 2,176.7    
Goodwill at end of the period 2,176.7 $ 2,176.7  
Completed and transferred in-process research and development $ 9.5 293.5  
Weighted average amortization period (years) 12 years    
Amortization of intangibles $ 225.9 $ 288.4 $ 86.8