Goodwill and Intangible Assets, Intangible Assets Excluding Goodwill (Details) - USD ($) $ in Millions	12 Months Ended
	Oct. 02, 2026	Oct. 03, 2025
Intangible Asset, Finite-Lived [Line Items]
Accumulated amortization	$ (870.3)	$ (757.3)
Total intangible assets, gross carrying amount	1,504.0	1,566.3
Total intangible assets, net carrying amount	$ 633.7	809.0
Developed technology and other
Intangible Asset, Finite-Lived [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	(819.3)	(678.5)
Net carrying amount	$ 577.2	718.0
Technology licenses
Intangible Asset, Finite-Lived [Line Items]
Weighted average amortization period (years)	3 years 2 months 12 days
Finite-lived intangible assets, gross	$ 107.5	167.0
Accumulated amortization	(51.0)	(78.8)
Net carrying amount	56.5	88.2
In-process research and development
Intangible Asset, Finite-Lived [Line Items]
Indefinite-lived intangible assets, gross	0.0	2.8
Accumulated amortization	0.0	0.0
Net carrying amount	$ 0.0	$ 2.8