Goodwill and Intangible Assets, Intangible Assets Excluding Goodwill (Details) - USD ($) $ in Millions	6 Months Ended
	Mar. 29, 2024	Sep. 29, 2023
Finite-Lived Intangible Assets [Line Items]
Accumulated amortization	$ (496.6)	$ (415.4)
Total intangible assets, gross carrying amount	1,616.1	1,637.5
Total intangible assets, net carrying amount	$ 1,119.5	1,222.1
Developed technology and other
Finite-Lived Intangible Assets [Line Items]
Weighted average amortization period (years)	6 years 2 months 12 days
Finite-lived intangible assets, gross	$ 1,346.1	1,290.4
Accumulated amortization	(460.7)	(379.4)
Net carrying amount	$ 885.4	911.0
Technology licenses
Finite-Lived Intangible Assets [Line Items]
Weighted average amortization period (years)	3 years 2 months 12 days
Finite-lived intangible assets, gross	$ 70.6	75.8
Accumulated amortization	(35.9)	(36.0)
Net carrying amount	34.7	39.8
In-process research and development
Finite-Lived Intangible Assets [Line Items]
Indefinite-lived intangible assets, gross	199.4	271.3
Accumulated amortization	0.0	0.0
Net carrying amount	$ 199.4	$ 271.3