Stockholders' Equity, Share-Based Compensation Expense (Details) - USD ($) $ in Millions	12 Months Ended
Oct. 02, 2026	Oct. 03, 2025	Sep. 27, 2024
Share-Based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]
Share-based compensation expense	$ 218.4	$ 232.4	$ 180.3
Share-based compensation tax expense	10.1	5.6	18.9
Capitalized share-based compensation expense at period end	20.2	21.7	10.1
Location, Statement of Income, Balance [Axis]: us-gaap:CostOfGoodsAndServicesSold
Share-Based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]
Share-based compensation expense	37.2	29.5	32.0
Location, Statement of Income, Balance [Axis]: us-gaap:ResearchAndDevelopmentExpense
Share-Based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]
Share-based compensation expense	129.7	126.9	85.5
Location, Statement of Income, Balance [Axis]: us-gaap:RestructuringCharges
Share-Based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]
Share-based compensation expense	0.0	12.5	0.0
Location, Statement of Income, Balance [Axis]: us-gaap:SellingGeneralAndAdministrativeExpense
Share-Based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]
Share-based compensation expense	$ 51.5	$ 63.5	$ 62.8

Amount of expense for award under share-based payment arrangement. Excludes amount capitalized.

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Topic 718
-SubTopic 10
-Name Accounting Standards Codification
-Section S45
-Paragraph 1
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479983/718-10-S45-1

Reference 2: http://www.xbrl.org/2003/role/disclosureRef
-Topic 718
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-Name Accounting Standards Codification
-Section S99
-Paragraph 1
-Subparagraph (SAB Topic 14.F)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479830/718-10-S99-1

Reference 3: http://www.xbrl.org/2003/role/disclosureRef
-Topic 718
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 2
-Subparagraph (h)(1)(i)
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+ References

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
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-Name Accounting Standards Codification
-Section 50
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Reference 1: http://www.xbrl.org/2003/role/disclosureRef
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-Section 50
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+ References

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
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