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Income Taxes - Schedule of Income Tax Expense (Benefit) (Details) - USD ($)
$ in Thousands
 12 Months Ended
Oct. 01, 2022
Oct. 02, 2021
Oct. 03, 2020
Current:      
Federal $ 12,506 $ 9,217 $ 8,779
State 386 524 23
Foreign 17,968 15,146 12,699
Current Total 30,860 24,887 21,501
Deferred:      
Federal (9,931) (1,153) (6,498)
State (315) 1 3
Foreign (554) (2,236) 2,912
Deferred Total (10,800) (3,388) (3,583)
Income Tax Expense (Benefit) $ 20,060 $ 21,499 $ 17,918