Other Intangible Assets and Goodwill Other Intangible Assets and Goodwill (Finite-Lived Intangible Assets) (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Jul. 01, 2018	Jul. 02, 2017	Jul. 01, 2018	Jul. 02, 2017	Oct. 01, 2017
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	$ 1,218.0		$ 1,218.0		$ 409.0
Accumulated amortization	(323.9)		(323.9)		(194.8)
Net carrying amount	894.1		894.1		214.2
Finite-Lived Intangible Assets, Amortization Expense, Next Twelve Months	58.6	$ 14.3	131.4	$ 42.8
Acquired and reacquired rights
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	1,117.3		1,117.3		328.8
Accumulated amortization	(275.8)		(275.8)		(154.2)
Net carrying amount	841.5		841.5		174.6
Acquired trade secrets and processes [Member]
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	27.6		27.6		27.6
Accumulated amortization	(15.8)		(15.8)		(13.7)
Net carrying amount	11.8		11.8		13.9
Trade Names, Trademarks and Patents [Member]
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	32.0		32.0		31.5
Accumulated amortization	(19.0)		(19.0)		(17.6)
Net carrying amount	13.0		13.0		13.9
Licensing Agreements [Member]
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	14.7		14.7		14.4
Accumulated amortization	(4.9)		(4.9)		(3.8)
Net carrying amount	9.8		9.8		10.6
Other finite-lived intangible assets [Member]
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	26.4		26.4		6.7
Accumulated amortization	(8.4)		(8.4)		(5.5)
Net carrying amount	$ 18.0		$ 18.0		$ 1.2