Reportable Segments - Operating Segment Information (Details) - USD ($) $ in Thousands	3 Months Ended		6 Months Ended
	Jul. 02, 2023	Jul. 03, 2022	Jul. 02, 2023	Jul. 03, 2022	Dec. 31, 2022
Segment Reporting Information [Line Items]
Segment Revenues	$ 692,245	$ 666,551	$ 1,334,034	$ 1,276,922
Depreciation expense	12,700	11,400	25,000	22,600
Amortization of intangibles	11,126	9,177	20,736	17,994
Severance, restructuring, and acquisition integration costs	1,417	1,167	2,091	4,150
Segment assets	3,145,327		3,145,327		$ 3,161,675
Enterprise Solutions
Segment Reporting Information [Line Items]
Segment Revenues	312,529	307,444	587,872	575,874
Industrial Automation Solutions
Segment Reporting Information [Line Items]
Segment Revenues	379,716	359,107	746,162	701,048
Reportable Segment
Segment Reporting Information [Line Items]
Segment EBITDA	122,587	109,947	233,579	208,296
Depreciation expense	12,682	11,370	25,036	22,596
Amortization of intangibles	11,126	9,177	20,736	17,994
Amortization of software development intangible assets	1,820	981	3,272	1,988
Severance, restructuring, and acquisition integration costs	4,059	5,857	5,771	9,580
Adjustments related to acquisitions and divestitures	249	576	547	576
Segment assets	1,347,436	1,256,981	1,347,436	1,256,981
Reportable Segment | Software Development
Segment Reporting Information [Line Items]
Amortization of software development intangible assets	1,820	981	3,272	1,988
Reportable Segment | Segment Revenues
Segment Reporting Information [Line Items]
Segment Revenues	692,245	666,551	1,334,034	1,276,922
Reportable Segment | Enterprise Solutions
Segment Reporting Information [Line Items]
Segment EBITDA	43,956	41,887	81,161	72,708
Depreciation expense	6,193	5,768	12,147	11,194
Amortization of intangibles	6,208	4,442	10,703	8,539
Severance, restructuring, and acquisition integration costs	1,669	4,575	1,694	4,903
Adjustments related to acquisitions and divestitures	325	(558)	325	(558)
Segment assets	648,344	607,386	648,344	607,386
Reportable Segment | Enterprise Solutions | Software Development
Segment Reporting Information [Line Items]
Amortization of software development intangible assets	0	22	0	44
Reportable Segment | Enterprise Solutions | Segment Revenues
Segment Reporting Information [Line Items]
Segment Revenues	312,529	307,444	587,872	575,874
Reportable Segment | Industrial Automation Solutions
Segment Reporting Information [Line Items]
Segment EBITDA	78,631	68,060	152,418	135,588
Depreciation expense	6,489	5,602	12,889	11,402
Amortization of intangibles	4,918	4,735	10,033	9,455
Severance, restructuring, and acquisition integration costs	2,390	1,282	4,077	4,677
Adjustments related to acquisitions and divestitures	(76)	1,134	222	1,134
Segment assets	699,092	649,595	699,092	649,595
Reportable Segment | Industrial Automation Solutions | Software Development
Segment Reporting Information [Line Items]
Amortization of software development intangible assets	1,820	959	3,272	1,944
Reportable Segment | Industrial Automation Solutions | Segment Revenues
Segment Reporting Information [Line Items]
Segment Revenues	$ 379,716	$ 359,107	$ 746,162	$ 701,048