Goodwill and Intangible Assets (Schedule of Intangible Assets Excluding Goodwill) (Details) - USD ($) $ in Millions	12 Months Ended
	Oct. 01, 2021	Oct. 02, 2020
Intangible Assets Excluding Goodwill [Line Items]
Goodwill	$ 2,176.7	$ 1,189.8
Gross carrying amount	1,855.5	166.6
Accumulated amortization	(156.9)	(113.1)
Net carrying amount	$ 1,698.6	53.5
Customer Relationships [Member]
Intangible Assets Excluding Goodwill [Line Items]
Weighted average amortization period (years)	2 years 6 months
Gross carrying amount	$ 174.3	18.2
Accumulated amortization	(44.0)	(15.8)
Net carrying amount	$ 130.3	2.4
Developed Technology and Other [Member]
Intangible Assets Excluding Goodwill [Line Items]
Weighted average amortization period (years)	4 years 2 months 12 days
Gross carrying amount	$ 1,036.9	101.0
Accumulated amortization	(88.0)	(81.6)
Net carrying amount	948.9	19.4
Trademarks [Member]
Intangible Assets Excluding Goodwill [Line Items]
Gross carrying amount	1.0	1.6
Accumulated amortization	(1.0)	(1.5)
Net carrying amount	$ 0.0	0.1
Licensing Agreements [Member]
Intangible Assets Excluding Goodwill [Line Items]
Weighted average amortization period (years)	2 years 7 months 6 days
Gross carrying amount	$ 48.4	26.3
Accumulated amortization	(23.9)	(14.2)
Net carrying amount	24.5	12.1
In Process Research and Development [Member]
Intangible Assets Excluding Goodwill [Line Items]
Gross carrying amount	594.9	19.5
Accumulated amortization	0.0	0.0
Net carrying amount	$ 594.9	$ 19.5
Trade Names [Member]
Intangible Assets Excluding Goodwill [Line Items]
Weighted average amortization period (years)	3 years