Goodwill and Intangible Assets - Goodwill (Details) - USD ($) $ in Thousands		3 Months Ended		6 Months Ended
	Jul. 01, 2024	Mar. 30, 2025	Mar. 31, 2024	Mar. 30, 2025	Mar. 31, 2024
Goodwill
Balance at beginning of the period				$ 2,046,569
Acquisition activity				10,114
Goodwill impairment	$ 0	$ (92,416)	$ 0	(92,416)	$ 0
Translation adjustments				(51,133)
Balance at end of the period		1,913,134		1,913,134
GSG
Goodwill
Balance at beginning of the period				750,817
Acquisition activity				0
Goodwill impairment				(92,416)
Translation adjustments				(2,271)
Balance at end of the period		656,130		656,130
CIG
Goodwill
Balance at beginning of the period				1,295,752
Acquisition activity				10,114
Goodwill impairment				0
Translation adjustments				(48,862)
Balance at end of the period		$ 1,257,004		$ 1,257,004