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Revenue and Contract Balances - Accounts Receivable, Net (Details) - USD ($)
$ in Thousands
Jan. 01, 2023
Oct. 02, 2022
Revenue from Contract with Customer [Abstract]    
Billed $ 486,027 $ 491,700
Unbilled 313,782 267,161
Total accounts receivable 799,809 758,861
Allowance for doubtful accounts (3,937) (3,749)
Total accounts receivable, net $ 795,872 $ 755,112