Other Intangible Assets and Goodwill (Finite-Lived Intangible Assets) (Details) - USD ($) $ in Millions	Jun. 27, 2021	Sep. 27, 2020
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	$ 1,335.9	$ 1,307.9
Accumulated amortization	(1,033.9)	(850.8)
Total estimated future amortization expense	302.0	457.1
Acquired and reacquired rights
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	1,144.0	1,116.1
Accumulated amortization	(932.6)	(765.0)
Total estimated future amortization expense	211.4	351.1
Acquired trade secrets and processes
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	27.6	27.6
Accumulated amortization	(24.1)	(22.0)
Total estimated future amortization expense	3.5	5.6
Trade names, trademarks and patents
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	125.8	124.8
Accumulated amortization	(47.0)	(32.1)
Total estimated future amortization expense	78.8	92.7
Licensing agreements
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	14.6	16.6
Accumulated amortization	(8.9)	(15.0)
Total estimated future amortization expense	5.7	1.6
Other finite-lived intangible assets
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	23.9	22.8
Accumulated amortization	(21.3)	(16.7)
Total estimated future amortization expense	$ 2.6	$ 6.1