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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 |

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