Segment Information - Schedule of Segment Reporting Information (Details) - USD ($) $ in Thousands		12 Months Ended
	Nov. 30, 2021	Dec. 30, 2023	Dec. 31, 2022	Jan. 01, 2022
Segment Reporting Information
Net sales		$ 2,362,657	$ 2,513,897	$ 2,079,928
Depreciation and amortization		137,428	120,706	98,635
Operating income (loss)		360,862	500,826	385,642
Interest expense		39,866	26,216	18,527
Foreign exchange loss		12,299	24,359	17,158
Other (income) expense, net		(19,901)	7,207	8,932
Income before income taxes		328,598	443,044	341,025
Restructuring charges		11,648	7,121	2,158
Impairment charges		4,853	4,546	0
Restructuring, impairment and other costs		16,501	9,977
Electronics – Semiconductor
Segment Reporting Information
Net sales		767,393	802,281
Employee terminations
Segment Reporting Information
Restructuring charges		8,705	5,769	1,875
Operating Income (Loss)
Segment Reporting Information
Acquisition related costs		11,700
Carling Technologies
Segment Reporting Information
Acquisition related costs				4,500
Inventory adjustment	$ 6,400
Carling Technologies | Operating Income (Loss)
Segment Reporting Information
Legal, accounting and other expenses				7,000
Hartland Controls | Employee terminations
Segment Reporting Information
Restructuring, impairment and other costs				10,000
Other
Segment Reporting Information
Operating income (loss)		(28,153)	(43,182)	(12,591)
Other | Operating Income (Loss)
Segment Reporting Information
Inventory adjustment			15,600
Other | Hartland Controls | Operating Income (Loss)
Segment Reporting Information
Inventory adjustment				8,400
Electronics
Segment Reporting Information
Restructuring charges		4,504	3,068	1,124
Impairment charges		100
Restructuring, impairment and other costs		4,615	5,924
Electronics | Electronics – Semiconductor
Segment Reporting Information
Impairment			2,900
Electronics | Employee terminations
Segment Reporting Information
Restructuring charges		4,162	2,792	1,124
Electronics | Hartland Controls
Segment Reporting Information
Gain (loss) on sale of properties				5,000
Electronics | Operating Segments
Segment Reporting Information
Net sales		1,350,426	1,492,819	1,300,744
Depreciation and amortization		79,345	68,195	61,512
Operating income (loss)		300,581	431,616	309,633
Electronics | Operating Segments | Electronics – Semiconductor
Segment Reporting Information
Net sales		767,393	802,281
Transportation
Segment Reporting Information
Restructuring charges		4,625	3,770	687
Impairment charges		3,900
Restructuring, impairment and other costs		8,495	3,770
Transportation | Employee terminations
Segment Reporting Information
Restructuring charges		3,649	2,694	404
Transportation | Operating Segments
Segment Reporting Information
Net sales		678,278	716,140	528,058
Depreciation and amortization		42,514	43,756	29,015
Operating income (loss)		33,634	63,539	65,979
Transportation | Operating Segments | Electronics – Semiconductor
Segment Reporting Information
Net sales		0	0
Industrial
Segment Reporting Information
Restructuring charges		2,519	283	347
Impairment charges		900
Restructuring, impairment and other costs		3,391	283
Industrial | Employee terminations
Segment Reporting Information
Restructuring charges		894	283	347
Industrial | Operating Segments
Segment Reporting Information
Net sales		333,953	304,938	251,126
Depreciation and amortization		15,569	8,755	8,108
Operating income (loss)		54,800	48,853	$ 22,621
Industrial | Operating Segments | Electronics – Semiconductor
Segment Reporting Information
Net sales		$ 0	0
Other | Employee terminations
Segment Reporting Information
Restructuring, impairment and other costs			10,000
Other | Operating Income (Loss)
Segment Reporting Information
Acquisition related costs			$ 17,600