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Revenue and Contract Balances - Accounts Receivable, Net (Details) - USD ($)
$ in Thousands
Oct. 02, 2022
Oct. 03, 2021
Revenue from Contract with Customer [Abstract]    
Billed $ 491,700 $ 432,814
Unbilled 267,161 240,536
Total accounts receivable 758,861 673,350
Allowance for doubtful accounts (3,749) (4,352)
Total accounts receivable, net $ 755,112 $ 668,998