Other Intangible Assets and Goodwill (Finite-Lived Intangible Assets) (Details) - USD ($) $ in Millions	Mar. 28, 2021	Sep. 27, 2020
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	$ 1,330.5	$ 1,307.9
Accumulated amortization	(981.9)	(850.8)
Total estimated future amortization expense	348.6	457.1
Acquired and reacquired rights
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	1,137.8	1,116.1
Accumulated amortization	(880.8)	(765.0)
Total estimated future amortization expense	257.0	351.1
Acquired trade secrets and processes
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	27.6	27.6
Accumulated amortization	(23.4)	(22.0)
Total estimated future amortization expense	4.2	5.6
Trade names, trademarks and patents
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	125.4	124.8
Accumulated amortization	(42.1)	(32.1)
Total estimated future amortization expense	83.3	92.7
Licensing agreements
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	16.0	16.6
Accumulated amortization	(15.7)	(15.0)
Total estimated future amortization expense	0.3	1.6
Other finite-lived intangible assets
Finite-Lived Intangible Assets [Line Items]
Gross carrying amount	23.7	22.8
Accumulated amortization	(19.9)	(16.7)
Total estimated future amortization expense	$ 3.8	$ 6.1