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Revenue and Contract Balances - Narrative (Details) - USD ($)
$ in Thousands
6 Months Ended
Apr. 02, 2023
Apr. 03, 2022
Oct. 02, 2022
Disaggregation of Revenue [Line Items]      
Contract liability revenue recognized during the period $ 121,000 $ 93,000  
Net favorable (unfavorable) revenue and operating income adjustments 4,000 $ 5,000  
Liabilities for anticipated losses 7,800   $ 10,000
Estimated cost to complete the related contracts $ 67,000   $ 80,000
Period for billing and collecting unbilled receivables 12 months    
Remaining unsatisfied performance obligation $ 4,235,952    
Remaining performance obligation, termination notice period one 30 days    
Remaining performance obligation, termination notice period two 60 days    
Remaining performance obligation, termination notice period three 90 days