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Goodwill And Other Intangible Assets - Narrative (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 29, 2023
Sep. 30, 2022
Oct. 01, 2021
Finite-Lived Intangible Assets [Line Items]      
Amortization of intangible assets $ 115.5 $ 108.7 $ 116.5
Customer-Related Intangible Assets      
Finite-Lived Intangible Assets [Line Items]      
Estimated Fair Value $ 20.7 165.5  
Weighted-Average Estimated Useful Life (in years) 14 years    
Trade name      
Finite-Lived Intangible Assets [Line Items]      
Estimated Fair Value $ 14.5 $ 56.3