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Revenue Recognition - Schedule of Revenues Disaggregated by Revenue Sources (Details) - USD ($)
$ in Thousands
 3 Months Ended 6 Months Ended
Mar. 31, 2025
Mar. 31, 2024
Mar. 31, 2025
Mar. 31, 2024
Disaggregation of Revenue [Line Items]        
Total revenue $ 3,771,613 $ 3,943,833 $ 7,785,765 $ 7,843,753
Americas        
Disaggregation of Revenue [Line Items]        
Total revenue 2,896,900 3,039,100 6,009,000 6,077,900
Europe, Middle East, India, Africa        
Disaggregation of Revenue [Line Items]        
Total revenue 531,300 619,800 1,068,300 1,115,200
Asia-Australia-Pacific        
Disaggregation of Revenue [Line Items]        
Total revenue 343,400 285,000 708,500 650,700
Cost reimbursable        
Disaggregation of Revenue [Line Items]        
Total revenue 1,463,600 1,605,100 2,969,300 3,222,300
Guaranteed maximum price        
Disaggregation of Revenue [Line Items]        
Total revenue 1,343,600 1,420,700 2,871,000 2,835,600
Fixed-price        
Disaggregation of Revenue [Line Items]        
Total revenue $ 964,400 918,100 $ 1,945,500 $ 1,785,900
Maximum        
Disaggregation of Revenue [Line Items]        
Total revenue   $ 3,943,900