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Segment Information - Adjusted EBITDA (Details) - USD ($)
$ in Thousands
 3 Months Ended 9 Months Ended
Sep. 30, 2016
Mar. 31, 2016
Sep. 30, 2015
Sep. 30, 2016
Sep. 30, 2015
Segment Reporting Information [Line Items]          
Gain recognized on receipt of earn out payment   $ 6,000      
Adjusted EBITDA $ 237,857   $ 241,666 $ 796,821 $ 712,825
Gain on remeasurement of previously-held joint venture interest       0 86,082
Less adjustments:          
Depreciation and amortization of property and equipment 58,271   49,247 168,150 157,154
Amortization of capitalized implementation costs 11,529   7,606 28,228 23,032
Acquisition related amortization 39,430   31,384 107,578 76,270
Amortization of upfront incentive consideration 17,139   9,525 43,372 31,575
Interest expense, net 38,002   40,581 116,414 129,643
Loss on extinguishment of debt (3,683)   0 (3,683) (33,235)
Other, net (281)   (92,568) (4,517) (88,320)
Restructuring and other costs 583   8,888 1,823 8,888
Acquisition-related costs 90   9,350 714 13,214
Litigation costs, net 7,034   9,318 5,089 14,797
Stock-based compensation expense 12,913   7,204 36,012 23,328
Provision for income taxes 7,208   38,007 79,905 84,966
Income from continuing operations $ 42,256   123,124 $ 210,370 $ 205,043
Minimum [Member]          
Segment Reporting Information [Line Items]          
Average expected life of the service contract to cost of revenue 3 years        
Maximum [Member]          
Segment Reporting Information [Line Items]          
Average expected life of the service contract to cost of revenue 5 years        
SAPPL [Member]          
Segment Reporting Information [Line Items]          
Gain on remeasurement of previously-held joint venture interest     $ 86,000    
Ownership percentage     35.00%   35.00%
Gain on settlement of pre-existing agreement     $ 12,000