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Segment Information - Information By Segment (Details) - USD ($)
3 Months Ended 12 Months Ended
Dec. 31, 2019
Sep. 30, 2019
Jun. 30, 2019
Mar. 31, 2019
Dec. 31, 2018
Sep. 30, 2018
Jun. 30, 2018
Mar. 31, 2018
Dec. 31, 2019
Dec. 31, 2018
Dec. 31, 2017
Segment Reporting Information [Line Items]                      
Total revenues $ 628,383,000 $ 624,474,000 $ 635,037,000 $ 614,576,000 $ 587,044,000 $ 595,962,000 $ 585,890,000 $ 607,221,000 $ 2,502,470,000 $ 2,376,117,000 $ 2,018,197,000
Gross profit $ 177,438,000 $ 196,404,000 $ 191,214,000 $ 187,263,000 $ 176,790,000 $ 197,097,000 $ 176,577,000 $ 179,855,000 752,319,000 730,319,000 676,751,000
Operating Income (Loss)                 132,683,000 (49,692,000) 154,877,000
Total other income (expense)                 (59,651,000) (59,459,000) (20,302,000)
Total income before income taxes                 73,032,000 (109,151,000) 134,575,000
Depreciation and amortization of intangible assets                 114,400,000 122,497,000 63,215,000
Device Solutions [Member]                      
Segment Reporting Information [Line Items]                      
Total revenues                 858,881,000 933,365,000 882,896,000
Gross profit                 152,562,000 187,254,000 216,631,000
Operating Income (Loss)                 97,753,000 130,988,000 159,641,000
Depreciation and amortization of intangible assets                 25,542,000 25,022,000 25,757,000
Networked Solutions Segment [Member]                      
Segment Reporting Information [Line Items]                      
Total revenues                 1,417,254,000 1,224,144,000 947,384,000
Gross profit                 518,749,000 482,471,000 412,375,000
Operating Income (Loss)                 397,325,000 360,779,000 322,367,000
Depreciation and amortization of intangible assets                 13,004,000 12,671,000 7,758,000
Outcomes Segment [Member]                      
Segment Reporting Information [Line Items]                      
Total revenues                 226,335,000 218,608,000 187,917,000
Gross profit                 81,008,000 60,594,000 47,745,000
Operating Income (Loss)                 43,803,000 16,634,000 4,915,000
Depreciation and amortization of intangible assets                 5,363,000 6,572,000 3,826,000
Corporate, Non-Segment [Member]                      
Segment Reporting Information [Line Items]                      
Operating Income (Loss)                 (406,198,000) (558,093,000) (332,046,000)
Depreciation and amortization of intangible assets                 70,491,000 78,232,000 25,874,000
Product [Member]                      
Segment Reporting Information [Line Items]                      
Total revenues                 2,220,395,000 2,095,458,000 1,813,925,000
Product [Member] | Device Solutions [Member]                      
Segment Reporting Information [Line Items]                      
Total revenues                 847,580,000 916,809,000 866,028,000
Product [Member] | Networked Solutions Segment [Member]                      
Segment Reporting Information [Line Items]                      
Total revenues                 1,322,382,000 1,133,919,000 881,042,000
Product [Member] | Outcomes Segment [Member]                      
Segment Reporting Information [Line Items]                      
Total revenues                 50,433,000 44,730,000 66,855,000
Service [Member]                      
Segment Reporting Information [Line Items]                      
Total revenues                 282,075,000 280,659,000 204,272,000
Service [Member] | Device Solutions [Member]                      
Segment Reporting Information [Line Items]                      
Total revenues                 11,301,000 16,556,000 16,868,000
Service [Member] | Networked Solutions Segment [Member]                      
Segment Reporting Information [Line Items]                      
Total revenues                 94,872,000 90,225,000 66,342,000
Service [Member] | Outcomes Segment [Member]                      
Segment Reporting Information [Line Items]                      
Total revenues                 $ 175,902,000 $ 173,878,000 $ 121,062,000