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Revenue Recognition - Disaggregated revenues (Details) - USD ($) $ in Millions | 12 Months Ended
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Sep. 30, 2024 | Sep. 30, 2023 | Sep. 30, 2022
Revenue Recognition |  |  |
Total revenue | $ 16,105.5 | $ 14,378.5 | $ 13,148.2
Americas |  |  |
Revenue Recognition |  |  |
Total revenue | 12,487.0 | 10,976.4 | 9,941.6
Europe, Middle East, India, Africa |  |  |
Revenue Recognition |  |  |
Total revenue | 2,141.5 | 1,937.3 | 1,759.8
Asia-Australia-Pacific |  |  |
Revenue Recognition |  |  |
Total revenue | 1,477.0 | 1,464.8 | 1,446.8
Cost reimbursable |  |  |
Revenue Recognition |  |  |
Total revenue | 6,361.4 | 6,128.8 | 5,454.9
Guaranteed maximum price |  |  |
Revenue Recognition |  |  |
Total revenue | 6,030.0 | 4,887.7 | 4,325.0
Fixed price |  |  |
Revenue Recognition |  |  |
Total revenue | $ 3,714.1 | $ 3,362.0 | $ 3,368.3

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