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Other Intangible Assets and Goodwill (Indefinite-Lived Intangible Assets) (Details) - USD ($)
$ in Millions
Oct. 02, 2022
Oct. 03, 2021
Trade Names, trademarks and patents [Member]    
Indefinite-lived Intangible Assets [Line Items]    
Indefinite-lived intangible assets $ 97.5 $ 96.4