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Income Taxes (Narrative) (Details) - USD ($) $ in Thousands | 12 Months Ended
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Sep. 30, 2023 | Oct. 01, 2022 | Oct. 02, 2021
Income Tax Examination [Line Items] |  |  |
GILTI Tax | $ 1,578 |  |
Foreign Derived Intangible Income Deduction, Benefit | 3,159 |  |
Provision to Return Adjustment, Benefit | 2,338 |  |
Tax Cuts and Jobs Act, Withholding Tax for Accumulated Foreign Earnings, Income Tax Expense | 2,201 |  |
Tax Cuts and Jobs Act, Withholding Tax for Accumulated Foreign Earnings, Total Income Tax Accrual | 10,535 |  |
Foreign Earnings Repatriated | $ 39,156 | $ 37,986 | $ 41,987
AmortizationPeriodTax CodeSection174DomesticExpense | 5 years |  |
AmortizationPeriodTax CodeSection174ForeignExpense | 15 years |  |
Deferred Tax Assets, Research and development, Tax Code Section 174 | $ 41,118 | 0 |
Unrecognized Tax Benefits | 1,072 | 848 |
Unrecognized Tax Benefits, Income Tax Penalties and Interest Expense |  | $ 43 |
Unrecognized Tax Benefits, Reduction Resulting from Lapse of Applicable Statute of Limitations | 0 |  |
Foreign Tax Authority |  |  |
Income Tax Examination [Line Items] |  |  |
Tax Credit Carryforward, Amount | 1,452 |  |
Domestic Tax Authority |  |  |
Income Tax Examination [Line Items] |  |  |
Tax Credit Carryforward, Amount | 895 |  |
State and Local Jurisdiction |  |  |
Income Tax Examination [Line Items] |  |  |
Tax Credit Carryforward, Amount | $ 6,285 |  |

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