Other Intangible Assets and Goodwill (Finite-Lived Intangible Assets) (Details) - USD ($) $ in Millions	Dec. 27, 2020	Sep. 27, 2020
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	$ 1,350.6	$ 1,307.9
Accumulated amortization	(939.6)	(850.8)
Net Carrying Amount	411.0	457.1
Acquired and reacquired rights
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	1,157.3	1,116.1
Accumulated amortization	(845.3)	(765.0)
Net Carrying Amount	312.0	351.1
Acquired trade secrets and processes [Member]
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	27.6	27.6
Accumulated amortization	(22.7)	(22.0)
Net Carrying Amount	4.9	5.6
Trade names, trademarks and patents [Member]
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	125.1	124.8
Accumulated amortization	(37.1)	(32.1)
Net Carrying Amount	88.0	92.7
Licensing agreements [Member]
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	16.9	16.6
Accumulated amortization	(15.9)	(15.0)
Net Carrying Amount	1.0	1.6
Other finite-lived intangible assets [Member]
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	23.7	22.8
Accumulated amortization	(18.6)	(16.7)
Net Carrying Amount	$ 5.1	$ 6.1