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Revenue and Contract Balances - Accounts Receivable, Net (Details) - USD ($)
$ in Thousands
Jan. 02, 2022
Oct. 03, 2021
Revenue from Contract with Customer [Abstract]    
Billed $ 441,652 $ 432,814
Unbilled 259,918 240,536
Total accounts receivable 701,570 673,350
Allowance for doubtful accounts (4,984) (4,352)
Total accounts receivable, net $ 696,586 $ 668,998