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Other Intangible Assets and Goodwill (Indefinite-Lived Intangible Assets) (Details) - USD ($)
$ in Millions
Jul. 02, 2023
Oct. 02, 2022
Trade names, trademarks and patents    
Indefinite-lived Intangible Assets [Line Items]    
Indefinite-lived Intangible Assets $ 79.1 $ 97.5