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Basis of Presentation (Details) - USD ($)
$ / shares in Units, $ in Thousands
 3 Months Ended 6 Months Ended
Jun. 30, 2019
Mar. 31, 2019
Jun. 30, 2018
Mar. 31, 2018
Jun. 30, 2019
Jun. 30, 2018
Dec. 31, 2018
Dec. 31, 2017
New Accounting Pronouncements or Change in Accounting Principle [Line Items]                
Total revenues $ 441,807   $ 370,798   $ 823,683 $ 724,826    
Provision for credit losses 14,832   13,636   32,623 27,862    
General and administrative 76,247   47,589   140,652 103,022    
Operating income 94,737   100,424   163,672 184,283    
Income taxes 12,397   12,325   18,215 30,074    
Net income 31,851 $ 16,208 38,566 $ 52,671 48,059 91,237    
Net income attributable to shareholders $ 13,807   $ 38,424   $ 29,941 $ 90,394    
Net income attributable to shareholders per share:                
Basic (in dollars per share) $ 0.32   $ 0.89   $ 0.69 $ 2.10    
Diluted (in dollars per share) $ 0.32   $ 0.88   $ 0.69 $ 2.08    
Net cash used for operating activities         $ 79,406 $ (66,666)    
Effect of exchange rates on cash, cash equivalents and restricted cash         (1,647) (14,360)    
Cash, cash equivalents and restricted cash, beginning of period $ 900,187   $ 335,793   900,187 335,793 $ 555,031 $ 522,385
Previously Reported                
New Accounting Pronouncements or Change in Accounting Principle [Line Items]                
Total revenues     370,876     725,705    
Provision for credit losses     11,505     25,495    
General and administrative     48,488     103,921    
Operating income     102,911     181,273    
Income taxes     13,938     29,527    
Net income     39,440     88,774    
Net income attributable to shareholders     $ 39,298     $ 87,931    
Net income attributable to shareholders per share:                
Basic (in dollars per share)     $ 0.91     $ 2.04    
Diluted (in dollars per share)     $ 0.90     $ 2.02    
Net cash used for operating activities           $ (77,856)    
Effect of exchange rates on cash, cash equivalents and restricted cash           (7,723)    
Cash, cash equivalents and restricted cash, beginning of period               526,938
Brazil Adjustments | Restatement Adjustment                
New Accounting Pronouncements or Change in Accounting Principle [Line Items]                
Total revenues     $ (1,260)     (2,061)    
Provision for credit losses     2,131     2,367    
General and administrative     0     0    
Operating income     (4,568)     929    
Income taxes     (2,240)     103    
Net income     (2,328)     826    
Net income attributable to shareholders     $ (2,328)     $ 826    
Net income attributable to shareholders per share:                
Basic (in dollars per share)     $ (0.05)     $ 0.02    
Diluted (in dollars per share)     $ (0.05)     $ 0.02    
Net cash used for operating activities           $ 0    
Effect of exchange rates on cash, cash equivalents and restricted cash           0    
Cash, cash equivalents and restricted cash, beginning of period               0
Other Immaterial Adjustments | Restatement Adjustment                
New Accounting Pronouncements or Change in Accounting Principle [Line Items]                
Total revenues     $ 1,182     1,182    
Provision for credit losses     0     0    
General and administrative     (899)     (899)    
Operating income     2,081     2,081    
Income taxes     627     444    
Net income     1,454     1,637    
Net income attributable to shareholders     $ 1,454     $ 1,637    
Net income attributable to shareholders per share:                
Basic (in dollars per share)     $ 0.03     $ 0.04    
Diluted (in dollars per share)     $ 0.03     $ 0.04    
Net cash used for operating activities           $ 11,190    
Effect of exchange rates on cash, cash equivalents and restricted cash           (6,637)    
Cash, cash equivalents and restricted cash, beginning of period               $ (4,553)
Payment processing revenue                
New Accounting Pronouncements or Change in Accounting Principle [Line Items]                
Processing costs $ 99,481   $ 77,483   $ 190,600 150,571    
Payment processing revenue | Previously Reported                
New Accounting Pronouncements or Change in Accounting Principle [Line Items]                
Processing costs     76,306     155,928    
Payment processing revenue | Brazil Adjustments | Restatement Adjustment                
New Accounting Pronouncements or Change in Accounting Principle [Line Items]                
Processing costs     1,177     (5,357)    
Payment processing revenue | Other Immaterial Adjustments | Restatement Adjustment                
New Accounting Pronouncements or Change in Accounting Principle [Line Items]                
Processing costs     $ 0     $ 0