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Segment Information - Adjusted EBITDA (Details) - USD ($)
$ in Thousands
3 Months Ended 9 Months Ended
Sep. 30, 2019
Sep. 30, 2018
Sep. 30, 2019
Sep. 30, 2018
Segment Reporting Information [Line Items]        
Adjusted EBITDA $ 241,564 $ 278,505 $ 739,548 $ 856,845
Less adjustments:        
Depreciation and amortization of property and equipment 78,060 76,226 232,617 225,649
Amortization of capitalized implementation costs 9,579 10,099 31,317 30,317
Acquisition-related amortization 15,976 16,407 47,971 51,585
Amortization of upfront incentive consideration 20,851 18,207 59,825 57,324
Interest expense, net 39,743 39,291 117,364 116,809
Loss on extinguishment of debt 0 0 0 633
Other, net 1,769 1,905 6,118 10,746
Acquisition-related costs 9,696 0 30,337 0
Litigation costs, net (24,179) 5,225 (21,355) 7,073
Stock-based compensation 17,094 15,245 51,083 41,445
Provision for income taxes 7,795 25,021 31,783 61,371
Income from continuing operations 65,180 $ 70,879 $ 152,488 $ 253,893
US Airways Litigation        
Less adjustments:        
Accrued loss reversal $ 32,000      
Minimum        
Less adjustments:        
Average expected life of the service contract to cost of revenue     3 years  
Maximum        
Less adjustments:        
Average expected life of the service contract to cost of revenue     10 years