Goodwill and Intangible Assets, Intangible Assets Excluding Goodwill (Details) - USD ($) $ in Millions	6 Months Ended
	Mar. 28, 2025	Sep. 27, 2024
Finite-Lived Intangible Assets [Line Items]
Accumulated amortization	$ (667.1)	$ (589.5)
Total intangible assets, gross carrying amount	1,505.9	1,490.0
Total intangible assets, net carrying amount	$ 838.8	900.5
Developed technology and other
Finite-Lived Intangible Assets [Line Items]
Weighted average amortization period (years)	6 years 4 months 24 days
Finite-lived intangible assets, gross	$ 1,388.6	1,379.6
Accumulated amortization	(602.7)	(540.7)
Net carrying amount	$ 785.9	838.9
Technology licenses
Finite-Lived Intangible Assets [Line Items]
Weighted average amortization period (years)	3 years 2 months 12 days
Finite-lived intangible assets, gross	$ 106.6	75.0
Accumulated amortization	(64.4)	(48.8)
Net carrying amount	42.2	26.2
In-process research and development
Finite-Lived Intangible Assets [Line Items]
Indefinite-lived intangible assets, gross	10.7	35.4
Accumulated amortization	0.0	0.0
Net carrying amount	$ 10.7	$ 35.4