Other Intangible Assets and Goodwill Other Intangible Assets and Goodwill (Indefinite-Lived Intangible Assets) (Details) - USD ($) $ in Millions	Jul. 01, 2018	Oct. 01, 2017
Indefinite-lived Intangible Assets [Line Items]
Indefinite-lived Intangible Assets (Excluding Goodwill)	$ 228.8	$ 227.2
Trade Names, Trademarks and Patents [Member]
Indefinite-lived Intangible Assets [Line Items]
Indefinite-lived Intangible Assets (Excluding Goodwill)	213.7	212.1
Other finite-lived intangible assets [Member]
Indefinite-lived Intangible Assets [Line Items]
Indefinite-lived Intangible Assets (Excluding Goodwill)	$ 15.1	$ 15.1