Reportable Segments (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	Jul. 02, 2023	Jul. 03, 2022	Jul. 02, 2023	Jul. 03, 2022	Oct. 02, 2022
Segment Reporting Information [Line Items]
Revenue	$ 1,208,947	$ 890,231	$ 3,261,938	$ 2,601,485
Income from operations	97,675	83,905	250,736	245,645
Total Assets	3,973,578		3,973,578		$ 2,622,776
Operating segments | GSG
Segment Reporting Information [Line Items]
Revenue	531,050	459,987	1,565,371	1,365,041
Income from operations	54,496	45,580	167,053	147,104
Total Assets	588,469		588,469		558,764
Operating segments | CIG
Segment Reporting Information [Line Items]
Revenue	691,386	444,238	1,741,300	1,277,469
Income from operations	69,572	53,535	172,199	139,328
Total Assets	1,058,974		1,058,974		688,640
Elimination of inter-segment revenue
Segment Reporting Information [Line Items]
Revenue	(13,489)	(13,994)	(44,733)	(41,025)
Corporate
Segment Reporting Information [Line Items]
Income from operations	(26,393)	$ (15,210)	(88,516)	$ (40,787)
Total Assets	$ 2,326,135		$ 2,326,135		$ 1,375,372