Other Intangible Assets and Goodwill (Finite-Lived Intangible Assets) (Details) - USD ($) $ in Millions	Sep. 29, 2024	Oct. 01, 2023
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	$ 1,187.8	$ 1,149.3
Accumulated amortization	(1,166.4)	(1,108.2)
Net Carrying Amount	21.4	41.1
Acquired and reacquired rights [Member]
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	995.5	957.6
Accumulated amortization	(995.5)	(957.6)
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)	(27.6)
Net Carrying Amount	0.0	0.0
Trade Names, trademarks and patents [Member]
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	130.4	131.0
Accumulated amortization	(110.0)	(91.9)
Net Carrying Amount	20.4	39.1
Licensing agreements [Member]
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	13.4	13.0
Accumulated amortization	(12.4)	(11.0)
Net Carrying Amount	1.0	2.0
Other finite-lived intangible assets [Member]
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	20.9	20.1
Accumulated amortization	(20.9)	(20.1)
Net Carrying Amount	$ 0.0	$ 0.0