Other Intangible Assets and Goodwill (Finite-Lived Intangible Assets) (Details) - USD ($) $ in Millions	Oct. 01, 2023	Oct. 02, 2022
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	$ 1,149.3	$ 1,182.1
Accumulated amortization	(1,108.2)	(1,123.7)
Net Carrying Amount	41.1	58.4
Acquired and reacquired rights [Member]
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	957.6	990.0
Accumulated amortization	(957.6)	(990.0)
Net Carrying Amount	0.0	0.0
Acquired trade secrets and processes [Member]
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	27.6	27.6
Accumulated amortization	(27.6)	(27.3)
Net Carrying Amount	0.0	0.3
Trade Names, trademarks and patents [Member]
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	131.0	124.6
Accumulated amortization	(91.9)	(69.6)
Net Carrying Amount	39.1	55.0
Licensing agreements [Member]
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	13.0	19.3
Accumulated amortization	(11.0)	(16.2)
Net Carrying Amount	2.0	3.1
Other finite-lived intangible assets [Member]
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	20.1	20.6
Accumulated amortization	(20.1)	(20.6)
Net Carrying Amount	$ 0.0	$ 0.0