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Joint Ventures and VIE's - Schedule of Summarized Financial Information (Details) - USD ($)
$ in Thousands
 12 Months Ended
Sep. 30, 2022
Oct. 01, 2021
Oct. 02, 2020
Schedule of Equity Method Investments [Line Items]      
Current assets $ 4,721,994 $ 4,291,895  
Total assets 14,660,419 14,632,609  
Current liabilities 3,250,845 3,209,924  
Gross profit 3,327,040 3,043,772 $ 2,586,668
Net earnings 715,412 430,829 523,867
Consolidated Entities      
Schedule of Equity Method Investments [Line Items]      
Revenue 1,253,800 1,037,300 912,900
Direct cost of contracts (985,500) (910,100) (807,900)
Gross profit 268,300 127,200 105,000
Net earnings 92,300 84,300 $ 72,600
VIE, primary beneficiary | Consolidated Entities      
Schedule of Equity Method Investments [Line Items]      
Current assets 353,900 289,700  
Non-Current assets 0 100  
Total assets 353,900 289,800  
Current liabilities 228,100 220,800  
Total liabilities $ 228,100 $ 220,800