Reportable Segments - Summary of Reportable Segments (Details) - USD ($) $ in Thousands	3 Months Ended
	Dec. 29, 2024	Dec. 31, 2023	Sep. 29, 2024
Segment Reporting Information [Line Items]
Revenue	$ 1,420,561	$ 1,228,267
Income from operations	22,526	111,081
Total Assets	4,179,184		$ 4,192,676
Operating segments | GSG
Segment Reporting Information [Line Items]
Revenue	751,782	575,041
Income from operations	83,282	63,127
Total Assets	756,176		658,493
Operating segments | CIG
Segment Reporting Information [Line Items]
Revenue	688,235	669,107
Income from operations	77,677	71,401
Total Assets	1,012,644		1,059,915
Elimination of inter-segment revenue
Segment Reporting Information [Line Items]
Revenue	(19,456)	(15,881)
Corporate
Segment Reporting Information [Line Items]
Income from operations	(138,433)	$ (23,447)
Total Assets	$ 2,410,364		$ 2,474,268