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Revenue Recognition - Disaggregated revenues (Details) - USD ($) $ in Millions | 3 Months Ended | 9 Months Ended
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Jun. 30, 2023 | Jun. 30, 2022 | Jun. 30, 2023 | Jun. 30, 2022
Revenue Recognition |  |  |  |
Total revenue | $ 3,663.6 | $ 3,241.7 | $ 10,536.1 | $ 9,722.1
Americas |  |  |  |
Revenue Recognition |  |  |  |
Total revenue | 2,829.4 | 2,457.5 | 8,039.3 | 7,322.2
Europe, Middle East, India, Africa |  |  |  |
Revenue Recognition |  |  |  |
Total revenue | 476.0 | 426.7 | 1,418.1 | 1,325.1
Asia-Australia-Pacific |  |  |  |
Revenue Recognition |  |  |  |
Total revenue | 358.2 | 357.5 | 1,078.7 | 1,074.8
Cost reimbursable |  |  |  |
Revenue Recognition |  |  |  |
Total revenue | 1,500.2 | 1,328.0 | 4,526.4 | 4,014.5
Guaranteed maximum price |  |  |  |
Revenue Recognition |  |  |  |
Total revenue | 1,325.5 | 1,105.5 | 3,564.7 | 3,178.1
Fixed-price |  |  |  |
Revenue Recognition |  |  |  |
Total revenue | $ 837.9 | $ 808.2 | $ 2,445.0 | $ 2,529.5

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