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Other Intangible Assets and Goodwill (Indefinite-Lived Intangible Assets) (Details) - USD ($)
$ in Millions
Apr. 03, 2022
Oct. 03, 2021
Trade names, trademarks and patents    
Indefinite-lived Intangible Assets [Line Items]    
Indefinite-lived Intangible Assets $ 97.1 $ 96.4