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Schedule II - Valuation and Qualifying Accounts - Schedule of Valuation and Qualifying Accounts (Details) - USD ($)
$ in Thousands
 12 Months Ended
Sep. 30, 2023
Oct. 01, 2022
Oct. 02, 2021
Allowance for losses on accounts receivable (deducted from the asset to which it relates)      
SEC Schedule, 12-09, Movement in Valuation Allowances and Reserves [Roll Forward]      
Balance at beginning of period $ 1,961 $ 1,188 $ 3,597
Additions charged to costs and expenses 2,197 2,117 1,232
Additions charged to other accounts 0 0 0
Deductions (2,244) (1,344) (3,641)
Balance at end of period 1,914 1,961 1,188
Valuation allowance on deferred income tax assets (deducted from the asset to which it relates)      
SEC Schedule, 12-09, Movement in Valuation Allowances and Reserves [Roll Forward]      
Balance at beginning of period 25,562 30,321 34,948
Additions charged to costs and expenses 6,425 1,338 4,499
Additions charged to other accounts 0 0 0
Deductions (38) (6,097) (9,126)
Balance at end of period $ 31,949 $ 25,562 $ 30,321