Related Party Transactions (Details) - USD ($) $ in Thousands	3 Months Ended								12 Months Ended
	Oct. 01, 2023	Jul. 02, 2023	Apr. 02, 2023	Jan. 01, 2023	Oct. 02, 2022	Jul. 03, 2022	Apr. 03, 2022	Jan. 02, 2022	Oct. 01, 2023	Oct. 02, 2022	Oct. 03, 2021
Related Party Transaction [Line Items]
Revenue	$ 1,260,611	$ 1,208,947	$ 1,158,226	$ 894,766	$ 902,562	$ 890,231	$ 852,744	$ 858,510	$ 4,522,550	$ 3,504,048	$ 3,213,513
Reimbursable costs									78,500	91,700	92,400
Accounts receivable, net	974,535				755,112				974,535	755,112
Contract assets	113,939				92,405				113,939	92,405
Contract liabilities	335,044				241,340				335,044	241,340
Related Party
Related Party Transaction [Line Items]
Revenue									83,100	96,000	$ 95,500
Accounts receivable, net	19,944				16,818				19,944	16,818
Contract assets	2,723				2,935				2,723	2,935
Contract liabilities	$ 3,158				$ 3,464				$ 3,158	$ 3,464