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Revenue Recognition - Disaggregated revenues (Details) - USD ($)
$ in Millions
3 Months Ended
Dec. 31, 2022
Dec. 31, 2021
Revenue Recognition    
Total revenue $ 3,382.4 $ 3,266.7
Cost reimbursable    
Revenue Recognition    
Total revenue 1,514.9 1,307.6
Guaranteed maximum price    
Revenue Recognition    
Total revenue 1,088.2 1,067.7
Fixed price    
Revenue Recognition    
Total revenue 779.3 891.4
Americas    
Revenue Recognition    
Total revenue 2,579.6 2,464.2
Europe, Middle East, India, Africa    
Revenue Recognition    
Total revenue 448.0 440.9
Asia-Australia-Pacific    
Revenue Recognition    
Total revenue $ 354.8 $ 361.6