Other Intangible Assets and Goodwill (Finite-Lived Intangible Assets) (Details) - USD ($) $ in Millions	12 Months Ended
	Sep. 27, 2020	Oct. 02, 2022	Oct. 03, 2021
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount		$ 1,182.1	$ 1,338.2
Accumulated amortization		(1,123.7)	(1,084.7)
Net Carrying Amount		58.4	253.5
Acquired and reacquired rights [Member]
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount		990.0	1,141.5
Accumulated amortization		(990.0)	(971.9)
Net Carrying Amount		0.0	169.6
Acquired trade secrets and processes [Member]
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount		27.6	27.6
Accumulated amortization		(27.3)	(24.8)
Net Carrying Amount		0.3	2.8
Trade Names, trademarks and patents [Member]
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount		124.6	126.3
Accumulated amortization		(69.6)	(51.9)
Net Carrying Amount		55.0	74.4
Restructuring Costs and Asset Impairment Charges	$ 22.1
Licensing agreements [Member]
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount		19.3	18.8
Accumulated amortization		(16.2)	(13.5)
Net Carrying Amount		3.1	5.3
Other finite-lived intangible assets [Member]
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount		20.6	24.0
Accumulated amortization		(20.6)	(22.6)
Net Carrying Amount		$ 0.0	$ 1.4