Reportable Segments - Reconciliation of Total Reportable Segments' Revenues and EBITDA to Consolidated Revenues and Consolidated Income Before Taxes (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	Oct. 01, 2023	Oct. 02, 2022	Oct. 01, 2023	Oct. 02, 2022
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
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)
Operating income	95,429	129,648	273,563	285,105
Interest expense, net	(8,580)	(9,883)	(25,593)	(35,570)
Loss on debt extinguishment	0	0	0	(6,392)
Total non-operating pension benefit	328	26	1,462	2,296
Consolidated income from continuing operations before taxes	87,177	119,791	249,432	245,439
Reportable Segment
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [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)
Severance, restructuring, and acquisition integration costs	(6,075)	(4,560)	(11,846)	(14,140)
Amortization of software development intangible assets	(1,963)	(868)	(5,235)	(2,856)
Adjustments related to acquisitions and divestitures	(495)	2,023	(1,042)	1,447
Operating income	95,429	129,648	273,563	285,105
Interest expense, net	(8,580)	(9,883)	(25,593)	(35,570)
Loss on debt extinguishment	0	0	0	(6,392)
Reportable Segment | Segment Revenues
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Revenues	626,807	670,491	1,960,841	1,947,413
Intersegment Eliminations
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Operating income	$ (63)	$ (51)	$ (146)	$ (156)