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Revenue Recognition - Disaggregated revenues (Details) - USD ($) $ in Millions	12 Months Ended
	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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Amount, excluding tax collected from customer, of revenue from satisfaction of performance obligation by transferring promised good or service to customer. Tax collected from customer is tax assessed by governmental authority that is both imposed on and concurrent with specific revenue-producing transaction, including, but not limited to, sales, use, value added and excise.

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