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Other Intangible Assets and Goodwill (Indefinite-Lived Intangible Assets) (Details) - USD ($)
$ in Millions
Oct. 01, 2017
Oct. 02, 2016
Indefinite-lived Intangible Assets [Line Items]    
Indefinite-lived intangible assets $ 227.2 $ 222.9
Trade Names, trademarks and patents [Member]    
Indefinite-lived Intangible Assets [Line Items]    
Indefinite-lived intangible assets 212.1 207.8
Other indefinite-lived intangible assets [Member]    
Indefinite-lived Intangible Assets [Line Items]    
Indefinite-lived intangible assets $ 15.1 $ 15.1