Goodwill and Intangible Assets, Intangible Assets Excluding Goodwill (Details) - USD ($) $ in Millions	3 Months Ended
	Jan. 02, 2026	Oct. 03, 2025
Finite-Lived Intangible Assets [Line Items]
Accumulated amortization	$ (741.4)	$ (757.3)
Total intangible assets, gross carrying amount	1,505.9	1,566.3
Total intangible assets, net carrying amount	$ 764.5	809.0
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	$ 1,396.5	1,396.5
Accumulated amortization	(716.4)	(678.5)
Net carrying amount	$ 680.1	718.0
Technology licenses
Finite-Lived Intangible Assets [Line Items]
Weighted average amortization period (years)	3 years 2 months 12 days
Finite-lived intangible assets, gross	$ 106.6	167.0
Accumulated amortization	(25.0)	(78.8)
Net carrying amount	81.6	88.2
In-process research and development
Finite-Lived Intangible Assets [Line Items]
Indefinite-lived intangible assets, gross	2.8	2.8
Accumulated amortization	0.0	0.0
Net carrying amount	$ 2.8	$ 2.8