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Revenue Recognition - Disaggregated revenues (Details) - USD ($) $ in Millions | 12 Months Ended
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Sep. 30, 2023 | Sep. 30, 2022 | Sep. 30, 2021
Revenue Recognition |  |  |
Total revenue | $ 14,378.5 | $ 13,148.2 | $ 13,340.9
Americas |  |  |
Revenue Recognition |  |  |
Total revenue | 10,976.4 | 9,941.6 | 10,228.3
Europe, Middle East, India, Africa |  |  |
Revenue Recognition |  |  |
Total revenue | 1,937.3 | 1,759.8 | 1,691.3
Asia-Australia-Pacific |  |  |
Revenue Recognition |  |  |
Total revenue | 1,464.8 | 1,446.8 | 1,421.3
Cost reimbursable |  |  |
Revenue Recognition |  |  |
Total revenue | 6,128.8 | 5,454.9 | 5,319.4
Guaranteed maximum price |  |  |
Revenue Recognition |  |  |
Total revenue | 4,887.7 | 4,325.0 | 4,582.7
Fixed-price |  |  |
Revenue Recognition |  |  |
Total revenue | $ 3,362.0 | $ 3,368.3 | $ 3,438.8

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