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Revenue and Contract Balances - Accounts Receivable, Net (Details) - USD ($)
$ in Thousands
Apr. 03, 2022
Oct. 03, 2021
Revenue from Contract with Customer [Abstract]    
Billed $ 420,094 $ 432,814
Unbilled 251,679 240,536
Total accounts receivable 671,773 673,350
Allowance for doubtful accounts (4,648) (4,352)
Total accounts receivable, net $ 667,125 $ 668,998