Goodwill and Intangibles - Schedule of Acquired Intangibles in Accompanying Consolidated Balance Sheets (Details) $ in Thousands	3 Months Ended
	Dec. 30, 2022 USD ($)
Finite-lived Intangible Assets [Roll Forward]
Beginning balance	$ 1,394,052
Amortization	(49,773)
Acquired	1,318
Post-Acquisition Adjustments	(1,409)
Foreign currency translation and other	67,771
Ending balance	1,411,959
Customer Relationships, Contracts and Backlog
Finite-lived Intangible Assets [Roll Forward]
Beginning balance	1,136,438
Amortization	(43,383)
Acquired	1,318
Post-Acquisition Adjustments	(1,409)
Foreign currency translation and other	52,603
Ending balance	1,145,567
Developed Technology
Finite-lived Intangible Assets [Roll Forward]
Beginning balance	88,931
Amortization	(3,895)
Acquired	0
Post-Acquisition Adjustments	0
Foreign currency translation and other	404
Ending balance	85,440
Trade Names
Finite-lived Intangible Assets [Roll Forward]
Beginning balance	168,683
Amortization	(2,495)
Acquired	0
Post-Acquisition Adjustments	0
Foreign currency translation and other	14,764
Ending balance	$ 180,952