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Revenue Recognition - Schedule of Revenues Disaggregated by Revenue Sources (Details) - USD ($)
$ in Thousands
3 Months Ended
Dec. 31, 2024
Dec. 31, 2023
Disaggregation of Revenue [Line Items]    
Total revenue $ 4,014,152 $ 3,899,920
Americas    
Disaggregation of Revenue [Line Items]    
Total revenue 3,112,100 3,038,900
Europe, Middle East, India, Africa    
Disaggregation of Revenue [Line Items]    
Total revenue 537,000 495,400
Asia-Australia-Pacific    
Disaggregation of Revenue [Line Items]    
Total revenue 365,100 365,600
Cost reimbursable    
Disaggregation of Revenue [Line Items]    
Total revenue 1,505,700 1,617,200
Guaranteed maximum price    
Disaggregation of Revenue [Line Items]    
Total revenue 1,527,400 1,414,900
Fixed-price    
Disaggregation of Revenue [Line Items]    
Total revenue $ 981,100 $ 867,800