Other Intangible Assets and Goodwill (Finite-Lived Intangible Assets) (Details) - USD ($) $ in Millions	12 Months Ended
	Sep. 27, 2020	Oct. 03, 2021
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	$ 1,307.9	$ 1,338.2
Accumulated amortization	(850.8)	(1,084.7)
Net Carrying Amount	457.1	253.5
Acquired and reacquired rights [Member]
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	1,116.1	1,141.5
Accumulated amortization	(765.0)	(971.9)
Net Carrying Amount	351.1	169.6
Acquired trade secrets and processes [Member]
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	27.6	27.6
Accumulated amortization	(22.0)	(24.8)
Net Carrying Amount	5.6	2.8
Trade Names, trademarks and patents [Member]
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	124.8	126.3
Accumulated amortization	(32.1)	(51.9)
Net Carrying Amount	92.7	74.4
Restructuring Costs and Asset Impairment Charges	22.1
Licensing agreements [Member]
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	16.6	18.8
Accumulated amortization	(15.0)	(13.5)
Net Carrying Amount	1.6	5.3
Other finite-lived intangible assets [Member]
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	22.8	24.0
Accumulated amortization	(16.7)	(22.6)
Net Carrying Amount	$ 6.1	$ 1.4