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Income Taxes (Narrative) (Details) - USD ($)
$ in Thousands
 12 Months Ended
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