Reportable Segments - Summary of Reportable Segments (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	Jun. 30, 2024	Jul. 02, 2023	Jun. 30, 2024	Jul. 02, 2023	Oct. 01, 2023
Segment Reporting Information [Line Items]
Revenue	$ 1,344,323	$ 1,208,947	$ 3,824,205	$ 3,261,938
Income from operations	128,630	97,675	357,395	250,736
Total Assets	4,084,905		4,084,905		$ 3,820,477
Operating segments | GSG
Segment Reporting Information [Line Items]
Revenue	640,553	531,050	1,812,721	1,565,371
Income from operations	71,518	54,496	198,652	167,053
Total Assets	632,346		632,346		543,066
Operating segments | CIG
Segment Reporting Information [Line Items]
Revenue	723,617	691,386	2,063,879	1,741,300
Income from operations	86,465	69,572	233,821	172,199
Total Assets	1,066,241		1,066,241		994,470
Elimination of inter-segment revenue
Segment Reporting Information [Line Items]
Revenue	(19,847)	(13,489)	(52,395)	(44,733)
Corporate
Segment Reporting Information [Line Items]
Income from operations	(29,353)	$ (26,393)	(75,078)	$ (88,516)
Total Assets	$ 2,386,318		$ 2,386,318		$ 2,282,941