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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 |

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