Other Intangible Assets and Goodwill (Finite-Lived Intangible Assets) (Details) - USD ($) $ in Millions	Mar. 30, 2025	Sep. 29, 2024
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	$ 1,229.9	$ 1,187.8
Accumulated amortization	(1,140.1)	(1,166.4)
Total estimated future amortization expense	89.8	21.4
Acquired and reacquired rights
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	1,039.1	995.5
Accumulated amortization	(960.8)	(995.5)
Total estimated future amortization expense	78.3	0.0
Acquired trade secrets and processes
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	27.6	27.6
Accumulated amortization	(27.6)	(27.6)
Total estimated future amortization expense	0.0	0.0
Trade names, trademarks and patents
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	130.1	130.4
Accumulated amortization	(119.1)	(110.0)
Total estimated future amortization expense	11.0	20.4
Licensing agreements
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	12.9	13.4
Accumulated amortization	(12.4)	(12.4)
Total estimated future amortization expense	0.5	1.0
Other finite-lived intangible assets
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	20.2	20.9
Accumulated amortization	(20.2)	(20.9)
Total estimated future amortization expense	$ 0.0	$ 0.0