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Related Party Transactions (Details) - USD ($)
$ in Thousands
12 Months Ended
Oct. 02, 2022
Oct. 03, 2021
Sep. 27, 2020
Related Party Transactions [Abstract]      
Related party revenues $ 96,000 $ 95,500 $ 88,200
Related party expenses 91,700 92,400 $ 86,400
Accounts receivable, net 16,818 19,082  
Contract assets 2,935 5,092  
Contract liabilities $ 3,464 $ 3,026