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Revenue Recognition - Disaggregated revenues (Details) - USD ($)
$ in Millions
3 Months Ended
Dec. 31, 2023
Dec. 31, 2022
Revenue Recognition    
Total revenue $ 3,899.9 $ 3,382.4
Americas    
Revenue Recognition    
Total revenue 3,038.9 2,579.6
Europe, Middle East, India, Africa    
Revenue Recognition    
Total revenue 495.4 448.0
Asia-Australia-Pacific    
Revenue Recognition    
Total revenue 365.6 354.8
Cost reimbursable    
Revenue Recognition    
Total revenue 1,617.2 1,514.9
Guaranteed maximum price    
Revenue Recognition    
Total revenue 1,414.9 1,088.2
Fixed-price    
Revenue Recognition    
Total revenue $ 867.8 $ 779.3