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Segment Information - Adjusted EBITDA (Details) - USD ($)
$ in Thousands
1 Months Ended 3 Months Ended 9 Months Ended
Aug. 31, 2017
Sep. 30, 2017
Jun. 30, 2017
Sep. 30, 2016
Mar. 31, 2016
Sep. 30, 2017
Sep. 30, 2016
Segment Reporting Information [Line Items]              
Adjusted EBITDA   $ 262,926   $ 237,857   $ 821,904 $ 796,821
Less adjustments:              
Depreciation and amortization of property and equipment   66,332   58,271   191,442 168,150
Amortization of capitalized implementation costs   10,484   11,529   28,621 28,228
Acquisition-related amortization   20,226   39,430   75,666 107,578
Amortization of upfront incentive consideration   18,005   17,139   50,298 43,372
Impairment and related charges   0 $ 92,000 0   92,022 0
Interest expense, net   38,919   38,002   116,577 116,414
Loss on extinguishment of debt   1,012   3,683   1,012 3,683
Other, net   3,802   (281)   19,788 (4,517)
Restructuring and other costs   0 $ 25,000 583   25,304 1,823
Acquisition-related costs   0   90   0 714
Litigation costs (reimbursements), net   (40,929)   7,034   (36,470) 5,089
Stock-based compensation expense   11,655   12,913   34,413 36,012
Provision for income taxes   40,595   7,208   56,836 79,905
Income from continuing operations   $ 92,825   $ 42,256   166,395 210,370
Loss on modification of debt           $ 14,758 $ 0
Gain recognized on receipt of earn out payment         $ 6,000    
Minimum [Member]              
Less adjustments:              
Average expected life of the service contract to cost of revenue   3 years          
Maximum [Member]              
Less adjustments:              
Average expected life of the service contract to cost of revenue   5 years          
American Airlines, Insurance Carriers [Member]              
Less adjustments:              
Litigation settlement $ 58,000 $ 43,000