Other Intangible Assets and Goodwill (Finite-Lived Intangible Assets) (Details) - USD ($) $ in Millions	Mar. 31, 2024	Oct. 01, 2023
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	$ 1,153.1	$ 1,149.3
Accumulated amortization	(1,121.9)	(1,108.2)
Total estimated future amortization expense	31.2	41.1
Acquired and reacquired rights
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	962.0	957.6
Accumulated amortization	(962.0)	(957.6)
Total estimated future amortization expense	0.0	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	130.3	131.0
Accumulated amortization	(100.6)	(91.9)
Total estimated future amortization expense	29.7	39.1
Licensing agreements
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	12.9	13.0
Accumulated amortization	(11.4)	(11.0)
Total estimated future amortization expense	1.5	2.0
Other finite-lived intangible assets
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	20.3	20.1
Accumulated amortization	(20.3)	(20.1)
Total estimated future amortization expense	$ 0.0	$ 0.0