Operating Segments and Geographic Information - Reconciliation of Total Reportable Segments' Revenues and EBITDA to Consolidated Revenues and Consolidated Income from Continuing Operations Before Taxes (Details) - USD ($)			3 Months Ended								12 Months Ended
	Dec. 31, 2016	Jan. 07, 2016	Dec. 31, 2017	Oct. 01, 2017	Jul. 02, 2017	Apr. 02, 2017	Dec. 31, 2016	Oct. 02, 2016	Jul. 03, 2016	Apr. 03, 2016	Dec. 31, 2017	Dec. 31, 2016	Dec. 31, 2015	Jan. 02, 2015
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Patent settlement (2)							$ 10,300,000
Consolidated Revenues			$ 604,884,000	$ 621,745,000	$ 610,633,000	$ 551,381,000	612,435,000	$ 601,109,000	$ 601,631,000	$ 541,497,000	$ 2,388,643,000	$ 2,356,672,000	$ 2,309,222,000
Amortization of intangibles											(103,997,000)	(98,385,000)	(103,791,000)
Depreciation expense											(45,600,000)	(47,200,000)	(46,600,000)
Severance, restructuring, and acquisition integration costs (3)			(9,900,000)	(16,700,000)	(9,600,000)	(6,600,000)	(11,700,000)	(12,800,000)	(5,900,000)	(8,400,000)	(42,790,000)	(38,770,000)	(47,170,000)
Impairment of assets held for sale											0	(23,931,000)	0
Operating income			60,081,000	$ 60,791,000	$ 62,481,000	$ 51,337,000	$ 58,668,000	$ 61,980,000	$ 62,241,000	$ 40,964,000	234,690,000	223,853,000	140,553,000
Interest expense, net											(82,901,000)	(95,050,000)	(100,613,000)
Loss on debt extinguishment											(52,441,000)	(2,342,000)	0
Income from continuing operations before taxes											99,348,000	126,461,000	39,940,000
Reportable Segment [Member]
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Total Segment Revenues											2,388,643,000	2,357,805,000	2,360,583,000
Deferred revenue adjustments (1)											0	(6,687,000)	(51,361,000)
Patent settlement (2)											0	5,554,000	0
Consolidated Revenues											2,388,643,000	2,356,672,000	2,309,222,000
Total Segment EBITDA											430,034,000	433,189,000	401,666,000
Amortization of intangibles											(103,997,000)	(98,385,000)	(103,791,000)
Depreciation expense											(45,597,000)	(47,208,000)	(46,551,000)
Severance, restructuring, and acquisition integration costs (3)											(42,790,000)	(38,770,000)	(47,170,000)
Purchase accounting effects related to acquisitions (4)											(6,133,000)	2,079,000	(9,747,000)
Loss on sale of assets (5)											(1,013,000)	0	0
Impairment of assets held for sale											0	(23,931,000)	0
Deferred gross profit adjustments											0	(6,687,000)	(52,876,000)
Income from equity method investment											7,502,000	1,793,000	1,770,000
Eliminations [Member]
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Operating income											(3,260,000)	(3,781,000)	(2,748,000)
M2 FX Limited [Member]
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Adjustment to reduce earn-out liability	$ 0	$ 3,200,000									3,200,000
Acquired inventory			200,000								200,000
Tripwire [Member]
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Amortization of intangibles													(43,200,000)
Acquired inventory														$ 603,000
Compensation expense												9,200,000	9,200,000
Coast Wire And Plastic Tech [Member]
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Cost of sales related to adjustment of acquired inventory												300,000
Enterprise Solutions [Member]
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Severance, restructuring, and acquisition integration costs (3)											(23,511,000)	(11,962,000)	(723,000)
Acquired inventory			$ 800,000								800,000
Enterprise Solutions [Member] | Reportable Segment [Member]
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Total Segment Revenues											631,166,000	603,188,000	605,910,000
Total Segment EBITDA											103,650,000	101,298,000	100,214,000
Amortization of intangibles											(1,729,000)	(1,718,000)	(1,720,000)
Depreciation expense											(10,509,000)	(13,226,000)	(12,591,000)
Severance, restructuring, and acquisition integration costs (3)											(23,511,000)	(11,962,000)	(723,000)
Purchase accounting effects related to acquisitions (4)											0	(912,000)	(52,000)
Software Development [Member] | Reportable Segment [Member]
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Amortization of intangibles											$ (56,000)	$ 0	$ 0