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Revenue and Contract Balances - Narrative (Details) - USD ($) $ in Thousands | 12 Months Ended
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Oct. 01, 2023 | Oct. 02, 2022
Disaggregation of Revenue [Line Items] |  |
Contract liability revenue recognized during the period | $ 164,000 | $ 125,000
Net favorable operating income adjustments | 11,000 |
Liabilities for anticipated losses | 8,500 | 10,000
Estimated cost to complete the related contracts | $ 68,000 | $ 80,000
Period for billing and collecting unbilled receivables | 12 months |
Remaining unsatisfied performance obligation | $ 4,755,077 |
Remaining performance obligation, termination notice period one | 30 days |
Remaining performance obligation, termination notice period two | 60 years |
Remaining performance obligation, termination notice period three | 90 days |

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