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Income Taxes (Income Tax Expense Reconciliation) (Details) - USD ($) $ in Millions | 12 Months Ended
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Oct. 01, 2021 | Oct. 02, 2020 | Sep. 27, 2019
Income Tax Disclosure [Abstract] |  |  |
Tax expense at United States statutory rate | $ 335.7 | $ 187.3 | $ 201.8
Foreign tax rate difference | (155.2) | (86.6) | (115.3)
Effective Income Tax Rate Reconciliation, Repatriation of Foreign Earnings, Amount | 0.0 | 0.2 | 8.1
Effective Income Tax Rate Reconciliation, Nondeductible Expense, Share-based Compensation Cost, Amount | (13.5) | (10.3) | (1.6)
Research and development credits | (27.0) | (23.0) | (25.7)
Change in tax reserve | (51.5) | 9.6 | 18.4
EffectiveIncomeTaxRateReconciliationGlobalIntangibleLowTaxedIncomeAmount | 69.0 | 35.9 | 54.3
EffectiveIncomeTaxRateReconciliationForeignDerivedIntangibleIncome | (79.7) | (41.2) | (41.5)
Other, net | 22.6 | 5.0 | 9.0
Provision for income taxes | $ 100.4 | $ 76.9 | $ 107.4

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