Goodwill and Intangible Assets - Gross Amount and Accumulated Amortization of Acquired Finite-lived Intangibles (Details) - USD ($) $ in Thousands	3 Months Ended
	Jan. 01, 2023	Oct. 02, 2022
Finite-Lived Intangible Assets [Line Items]
Gross Amount	$ 92,094	$ 87,673
Accumulated Amortization	(64,558)	(58,510)
Net Amount	$ 27,536	29,163
Client relations
Finite-Lived Intangible Assets [Line Items]
Weighted- Average Remaining Life (in Years)	5 years 4 months 24 days
Gross Amount	$ 43,601	41,676
Accumulated Amortization	(23,081)	(21,092)
Net Amount	$ 20,520	20,584
Backlog
Finite-Lived Intangible Assets [Line Items]
Weighted- Average Remaining Life (in Years)	4 months 24 days
Gross Amount	$ 34,837	33,286
Accumulated Amortization	(33,033)	(29,990)
Net Amount	$ 1,804	3,296
Trade names
Finite-Lived Intangible Assets [Line Items]
Weighted- Average Remaining Life (in Years)	3 years 6 months
Gross Amount	$ 13,656	12,711
Accumulated Amortization	(8,444)	(7,428)
Net Amount	$ 5,212	$ 5,283