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Segment Information - Schedule of Total Services Revenues for Reportable Segment (Details) - USD ($) $ in Thousands	3 Months Ended								12 Months Ended
	Sep. 27, 2024	Jun. 28, 2024	Mar. 29, 2024	Dec. 29, 2023	Sep. 29, 2023	Jun. 30, 2023	Mar. 31, 2023	Dec. 30, 2022	Sep. 27, 2024	Sep. 29, 2023	Sep. 30, 2022
Segment Reporting Information [Line Items]
Revenues	$ 2,960,150	$ 2,883,384	$ 2,847,179	$ 2,810,228	$ 2,834,280	$ 2,791,779	$ 2,676,652	$ 2,548,709	$ 11,500,941	$ 10,851,420	$ 9,783,074
Infrastructure & Advanced Facilities | Operating Segments
Segment Reporting Information [Line Items]
Revenues									10,323,255	9,693,276	8,663,778
PA Consulting | Operating Segments
Segment Reporting Information [Line Items]
Revenues									$ 1,177,686	$ 1,158,144	$ 1,119,296

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Amount, including 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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