Goodwill and Intangibles - Schedule of Acquired Intangibles in Accompanying Consolidated Balance Sheets (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	Jun. 27, 2025	Jun. 28, 2024	Jun. 27, 2025	Jun. 28, 2024
Finite-lived Intangible Assets [Roll Forward]
Beginning balance			$ 874,894
Amortization	$ (39,245)	$ (38,312)	(115,946)	$ (113,718)
Foreign currency translation adjustments and other			12,193
Ending balance	771,141		771,141
Customer Relationships, Contracts and Backlog
Finite-lived Intangible Assets [Roll Forward]
Beginning balance			651,894
Amortization			(96,007)
Foreign currency translation adjustments and other			8,106
Ending balance	563,993		563,993
Developed Technology
Finite-lived Intangible Assets [Roll Forward]
Beginning balance			31,515
Amortization			(8,986)
Foreign currency translation adjustments and other			7
Ending balance	22,536		22,536
Trade Names
Finite-lived Intangible Assets [Roll Forward]
Beginning balance			191,485
Amortization			(10,953)
Foreign currency translation adjustments and other			4,080
Ending balance	$ 184,612		$ 184,612