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Revenue Recognition - Accounts receivable, net (Details) - USD ($) $ in Thousands	6 Months Ended	12 Months Ended
	Mar. 31, 2024	Sep. 30, 2023
Billed	$ 2,125,400	$ 2,122,200
Contract retentions	602,800	516,500
Total accounts receivable-gross	2,728,200	2,638,700
Allowance for doubtful accounts and credit losses	(81,500)	(94,200)
Total accounts receivable-net	$ 2,646,722	$ 2,544,453
Additional disclosures
Unbilled receivables are expected to be billed and collected (in months)	12 months	12 months
Significant claims recorded in contract assets and other non-current assets	$ 170,000	$ 160,000
Trade receivables sold with no financial and legal obligations	$ 291,900	$ 291,000
Outstanding receivables
Additional disclosures
Number of customers accounting for 10%	No	No
Concentration Risk Threshold Percentage	10.00%	10.00%

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- Definition

For an entity that discloses a concentration risk in relation to quantitative amount, which serves as the "benchmark" (or denominator) in the equation, this concept represents the concentration percentage derived from the division.

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The amounts in excess of the agreed contract price (or amounts not included in the original contract price) that the company seeks to collect from customers or others for delays, errors in specifications and designs, contract terminations, change orders in dispute or unapproved as to both scope and price or other causes of unanticipated additional costs recorded in contract assets and other non current assets.

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The amount of trade receivables sold, which the entity does not retain financial and legal obligations, at reporting date.

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Represents the period in which unbilled receivables are expected to be billed and collected in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days.

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- Definition

Amount, before allowance for credit loss, of right to consideration from customer for product sold and service rendered in normal course of business, classified as current.

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Amount, after allowance for credit loss, of right to consideration from customer for product sold and service rendered in normal course of business, classified as current.

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Amount of allowance for credit loss on accounts receivable, classified as current.

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Amounts due for billed services rendered or to be rendered, actions taken or to be taken, or a promise to refrain from taking certain actions in accordance with the terms of a legally binding agreement between the Company and, at a minimum, one other party. An example would be amounts billed to customers under contracts or programs but not paid as of the balance sheet date.

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Description of risks that arise due to the volume of business transacted with a particular customer. At a minimum, the description informs financial statement users of the general nature of the risk, but excludes "Information about Major Customers" that may be disclosed elsewhere (for instance, segment disclosures).

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Amount to be collected within one year of the balance sheet date (or one operating cycle, if longer) from customers in accordance with the contractual provisions of long-term contracts or programs including amounts billed and unbilled as of the balance sheet date.

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