Reportable Segments - Summary of Reportable Segments (Details) - USD ($) $ in Thousands	3 Months Ended
	Dec. 31, 2023	Jan. 01, 2023	Oct. 01, 2023
Segment Reporting Information [Line Items]
Revenue	$ 1,228,267	$ 894,766
Income from operations	111,081	92,050
Total Assets	3,950,823		$ 3,820,477
Operating segments | GSG
Segment Reporting Information [Line Items]
Revenue	575,041	471,067
Income from operations	63,127	60,347
Total Assets	584,208		543,066
Operating segments | CIG
Segment Reporting Information [Line Items]
Revenue	669,107	439,556
Income from operations	71,401	50,108
Total Assets	1,065,638		994,470
Elimination of inter-segment revenue
Segment Reporting Information [Line Items]
Revenue	(15,881)	(15,857)
Corporate
Segment Reporting Information [Line Items]
Income from operations	(23,447)	$ (18,405)
Total Assets	$ 2,300,977		$ 2,282,941