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Revenue Recognition - Disaggregated revenues (Details) - USD ($) $ in Thousands | 3 Months Ended | 6 Months Ended
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Mar. 31, 2020 | Mar. 31, 2019 | Mar. 31, 2020 | Mar. 31, 2019
Revenue Recognition |  |  |  |
Revenue | $ 3,245,737 | $ 3,412,605 | $ 6,481,347 | $ 6,768,943
Cost reimbursable |  |  |  |
Revenue Recognition |  |  |  |
Revenue | 1,488,800 | 1,471,300 | 2,883,200 | 2,900,300
Guaranteed maximum price |  |  |  |
Revenue Recognition |  |  |  |
Revenue | 929,100 | 1,003,600 | 1,876,600 | 2,033,900
Fixed price |  |  |  |
Revenue Recognition |  |  |  |
Revenue | 827,800 | 937,700 | 1,721,500 | 1,834,700
Americas |  |  |  |
Revenue Recognition |  |  |  |
Revenue | 2,476,200 | 2,578,000 | 4,928,700 | 5,142,300
Europe, Middle East, Africa |  |  |  |
Revenue Recognition |  |  |  |
Revenue | 405,400 | 463,200 | 835,000 | 893,500
Asia Pacific |  |  |  |
Revenue Recognition |  |  |  |
Revenue | $ 364,100 | $ 371,400 | $ 717,600 | $ 733,100

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