Business Segment, Geographic and Customer Information - Revenue and a Measure of Segment Gross Profit (Details) $ in Thousands	3 Months Ended
	Dec. 31, 2022 USD ($) segment	Jan. 01, 2022 USD ($)
Business Segment, Geographic and Customer Information
Net sales	$ 2,355,808	$ 1,756,326
Gross profit	$ 195,386	141,297
Number of reportable segments | segment	1
Operating Segments
Business Segment, Geographic and Customer Information
Gross profit	$ 199,861	146,175
Operating Segments | IMS
Business Segment, Geographic and Customer Information
Net sales	1,937,668	1,425,010
Gross profit	133,337	106,629
Operating Segments | CPS
Business Segment, Geographic and Customer Information
Net sales	458,093	366,278
Gross profit	66,524	39,546
Intersegment revenue
Business Segment, Geographic and Customer Information
Net sales	(39,953)	(34,962)
Unallocated items
Business Segment, Geographic and Customer Information
Gross profit	$ (4,475)	$ (4,878)