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Revenue - Impact of New Accounting Guidance (Details) - USD ($)
$ in Thousands
 3 Months Ended 9 Months Ended
Sep. 30, 2018
Sep. 30, 2017
Sep. 30, 2018
Sep. 30, 2017
Revenue, Initial Application Period Cumulative Effect Transition [Line Items]        
Payment processing revenue $ 244,872   $ 721,411  
Account servicing revenue 78,748 $ 71,322 236,168 $ 198,538
Finance fee revenue 53,703 50,879 154,958 136,336
Other revenue 67,368 56,099 187,206 160,935
Total revenues 382,690 324,002 1,108,395 919,243
Service fees 13,818 19,658 39,847 57,413
Provision for credit losses 21,435 19,614 46,930 47,927
Operating interest 10,268 7,537 28,281 17,049
Depreciation and amortization 19,013 18,879 60,058 54,639
Total cost of services 144,114 134,807 410,624 379,710
General and administrative 51,799 51,538 155,720 133,788
Sales and marketing 54,611 41,585 168,849 121,726
Depreciation and amortization 29,054 32,349 88,817 95,788
Impairment charges 2,424 0 2,424 16,175
Operating income 100,688 63,723 281,961 172,056
Financing interest expense (25,718) (25,754) (78,560) (81,449)
Net foreign currency (loss) gain (1,094) 14,611 (27,438) 33,578
Net unrealized gain (loss) on financial instruments 2,157 (150) 18,371 (849)
Income before income taxes 76,033 52,430 194,334 123,336
Income taxes 18,751 18,570 48,278 43,760
Net income 57,282 33,860 146,056 79,576
Less: Net (loss) income from non-controlling interest (40) (111) 803 (886)
Net income attributable to shareholders 57,322 33,971 145,253 80,462
Prior to Adoption        
Revenue, Initial Application Period Cumulative Effect Transition [Line Items]        
Account servicing revenue 78,748   236,168  
Finance fee revenue 53,703   154,958  
Other revenue 65,682   183,997  
Total revenues 372,303   1,076,797  
Service fees 17,234   53,310  
Provision for credit losses 21,435   46,930  
Operating interest 10,268   28,281  
Depreciation and amortization 19,013   60,058  
Total cost of services 147,530   424,087  
General and administrative 51,799   155,720  
Sales and marketing 40,846   123,996  
Depreciation and amortization 29,054   88,817  
Impairment charges 2,424   2,424  
Operating income 100,650   281,753  
Financing interest expense (25,718)   (78,560)  
Net foreign currency (loss) gain (1,094)   (27,438)  
Net unrealized gain (loss) on financial instruments 2,157   18,371  
Income before income taxes 75,995   194,126  
Income taxes 18,741   48,222  
Net income 57,254   145,904  
Less: Net (loss) income from non-controlling interest (40)   803  
Net income attributable to shareholders 57,294   145,101  
Difference between Revenue Guidance in Effect before and after Topic 606 | Accounting Standards Update 2014-09        
Revenue, Initial Application Period Cumulative Effect Transition [Line Items]        
Account servicing revenue 0   0  
Finance fee revenue 0   0  
Other revenue 1,686   3,209  
Total revenues 10,387   31,598  
Service fees (3,416)   (13,463)  
Provision for credit losses 0   0  
Operating interest 0   0  
Depreciation and amortization 0   0  
Total cost of services (3,416)   (13,463)  
General and administrative 0   0  
Sales and marketing 13,765   44,853  
Depreciation and amortization 0   0  
Impairment charges 0   0  
Operating income 38   208  
Financing interest expense 0   0  
Net foreign currency (loss) gain 0   0  
Net unrealized gain (loss) on financial instruments 0   0  
Income before income taxes 38   208  
Income taxes 10   56  
Net income 28   152  
Less: Net (loss) income from non-controlling interest 0   0  
Net income attributable to shareholders 28   152  
Payment processing revenue        
Revenue, Initial Application Period Cumulative Effect Transition [Line Items]        
Payment processing revenue 182,871 145,702 530,063 423,434
Processing costs 79,580 $ 69,119 235,508 $ 202,682
Payment processing revenue | Prior to Adoption        
Revenue, Initial Application Period Cumulative Effect Transition [Line Items]        
Payment processing revenue 174,170   501,674  
Processing costs 79,580   235,508  
Payment processing revenue | Difference between Revenue Guidance in Effect before and after Topic 606 | Accounting Standards Update 2014-09        
Revenue, Initial Application Period Cumulative Effect Transition [Line Items]        
Payment processing revenue 8,701   28,389  
Processing costs $ 0   $ 0