Reportable Segments - Operating Segment Information (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	Oct. 01, 2023	Oct. 02, 2022	Oct. 01, 2023	Oct. 02, 2022	Dec. 31, 2022
Segment Reporting Information [Line Items]
Segment Revenues	$ 626,807	$ 670,491	$ 1,960,841	$ 1,947,413
Depreciation expense	13,400	11,800	38,500	34,400
Amortization of intangibles	9,526	10,105	30,262	28,099
Severance, restructuring, and acquisition integration costs	4,821	4,632	6,912	14,629
Segment assets	3,129,399		3,129,399		$ 3,161,675
Enterprise Solutions
Segment Reporting Information [Line Items]
Segment Revenues	283,905	319,201	871,777	895,075
Industrial Automation Solutions
Segment Reporting Information [Line Items]
Segment Revenues	342,902	351,290	1,089,064	1,052,338
Reportable Segment
Segment Reporting Information [Line Items]
Segment EBITDA	114,937	117,165	348,516	325,461
Depreciation expense	13,442	11,847	38,478	34,443
Amortization of intangibles	9,526	10,105	30,262	28,099
Amortization of software development intangible assets	1,963	868	5,235	2,856
Severance, restructuring, and acquisition integration costs	6,075	4,560	11,846	14,140
Adjustments related to acquisitions and divestitures	495	(2,023)	1,042	(1,447)
Segment assets	1,323,643	1,208,826	1,323,643	1,208,826
Reportable Segment | Software Development
Segment Reporting Information [Line Items]
Amortization of software development intangible assets	1,963	868	5,235	2,856
Reportable Segment | Segment Revenues
Segment Reporting Information [Line Items]
Segment Revenues	626,807	670,491	1,960,841	1,947,413
Reportable Segment | Enterprise Solutions
Segment Reporting Information [Line Items]
Segment EBITDA	37,693	46,110	118,854	118,818
Depreciation expense	6,632	6,020	18,779	17,214
Amortization of intangibles	4,468	4,512	15,171	13,051
Severance, restructuring, and acquisition integration costs	3,453	2,702	5,147	7,605
Adjustments related to acquisitions and divestitures	197	(2,537)	522	(3,095)
Segment assets	625,356	575,829	625,356	575,829
Reportable Segment | Enterprise Solutions | Software Development
Segment Reporting Information [Line Items]
Amortization of software development intangible assets	0	8	0	52
Reportable Segment | Enterprise Solutions | Segment Revenues
Segment Reporting Information [Line Items]
Segment Revenues	283,905	319,201	871,777	895,075
Reportable Segment | Industrial Automation Solutions
Segment Reporting Information [Line Items]
Segment EBITDA	77,244	71,055	229,662	206,643
Depreciation expense	6,810	5,827	19,699	17,229
Amortization of intangibles	5,058	5,593	15,091	15,048
Severance, restructuring, and acquisition integration costs	2,622	1,858	6,699	6,535
Adjustments related to acquisitions and divestitures	298	514	520	1,648
Segment assets	698,287	632,997	698,287	632,997
Reportable Segment | Industrial Automation Solutions | Software Development
Segment Reporting Information [Line Items]
Amortization of software development intangible assets	1,963	860	5,235	2,804
Reportable Segment | Industrial Automation Solutions | Segment Revenues
Segment Reporting Information [Line Items]
Segment Revenues	$ 342,902	$ 351,290	$ 1,089,064	$ 1,052,338