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Other Intangible Assets and Goodwill (Narrative) (Details) - USD ($)
$ in Millions
12 Months Ended
Oct. 01, 2023
Oct. 02, 2022
Oct. 03, 2021
Finite-Lived Intangible Assets [Line Items]      
Amortization of Intangible Assets $ 21.5 $ 192.7 $ 223.4