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Income Taxes (Income Tax Expense Reconciliation) (Details) - USD ($) $ in Millions | 12 Months Ended
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Oct. 02, 2020 | Sep. 27, 2019 | Sep. 28, 2018
Income Tax Disclosure [Abstract] |  |  |
Tax expense at United States statutory rate | $ 187.3 | $ 201.8 | $ 327.4
Foreign tax rate difference | (86.6) | (115.3) | (111.9)
Effective Income Tax Rate Reconciliation, Repatriation of Foreign Earnings, Amount | 0.2 | 8.1 | 224.6
Effective Income Tax Rate Reconciliation, Nondeductible Expense, Share-based Compensation Cost, Amount | (10.3) | (1.6) | (25.6)
Effective Income Tax Rate Reconciliation, Change in Enacted Tax Rate, Amount | 0.0 | 0.0 | 18.3
Research and development credits | (23.0) | (25.7) | (19.9)
Change in tax reserve | 10.1 | 14.0 | 6.7
Domestic production activities deduction | 0.0 | 0.0 | (13.9)
EffectiveIncomeTaxRateReconciliationGlobalIntangibleLowTaxedIncomeAmount | 35.9 | 54.3 | 0.0
EffectiveIncomeTaxRateReconciliationForeignDerivedIntangibleIncome | (41.2) | (41.5) | 0.0
Audit settlement and adjustment | (0.5) | 4.3 | 0.0
Other, net | 5.0 | 9.0 | 8.0
Provision for income taxes | $ 76.9 | $ 107.4 | $ 413.7

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