Other Intangible Assets and Goodwill (Finite-Lived Intangible Assets) (Details) - USD ($) $ in Millions	Oct. 01, 2017	Oct. 02, 2016
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	$ 409.0	$ 441.5
Accumulated amortization	(194.8)	(148.1)
Net Carrying Amount	214.2	293.4
Acquired and reacquired rights [Member]
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	328.8	361.3
Accumulated amortization	(154.2)	(114.5)
Net Carrying Amount	174.6	246.8
Acquired trade secrets and processes [Member]
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	27.6	27.6
Accumulated amortization	(13.7)	(11.0)
Net Carrying Amount	13.9	16.6
Trade Names, trademarks and patents [Member]
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	31.5	29.4
Accumulated amortization	(17.6)	(15.2)
Net Carrying Amount	13.9	14.2
Licensing agreements [Member]
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	14.4	16.0
Accumulated amortization	(3.8)	(2.8)
Net Carrying Amount	10.6	13.2
Other finite-lived intangible assets [Member]
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	6.7	7.2
Accumulated amortization	(5.5)	(4.6)
Net Carrying Amount	$ 1.2	$ 2.6