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Revenue Recognition - Accounts receivable, net (Details) - USD ($)
$ in Thousands
 12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Billed $ 1,931,400 $ 2,181,100
Contract retentions 490,400 531,200
Total accounts receivable-gross 2,421,800 2,712,300
Allowance for doubtful accounts and credit losses (104,000) (92,800)
Total accounts receivable-net $ 2,317,812 $ 2,619,491
Additional disclosures    
Unbilled receivables are expected to be billed and collected (in months) 12 months 12 months
Significant claims recorded in contract assets and other non-current assets $ 110,000 $ 140,000
Amount of reduction in contract claim 30,000  
Trade receivables sold with no financial and legal obligations $ 240,300 $ 263,600
Outstanding receivables    
Additional disclosures    
Number of customers accounting for 10% No No
Concentration Risk Threshold Percentage 10.00% 10.00%