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Goodwill and Acquired Intangible Assets, Net (Details) - USD ($)
$ in Thousands
12 Months Ended
Dec. 31, 2018
Dec. 31, 2017
Dec. 31, 2016
Finite-Lived Intangible Assets [Line Items]      
Finite-Lived Customer Relationships, Gross $ 199,581 $ 207,133  
Finite lived trademarks and trade names 45,233 56,273  
Finite-Lived Computer Software, Gross 58,515 62,384  
Finite-Lived Noncompete Agreements, Gross 2,076 3,895  
Finite-Lived Intangible Assets, Gross 305,405 329,685  
Acquired intangible assets, accumulated amortization (190,920) (179,142)  
Future Amortization Expense, Year One 20,500    
Future Amortization Expense, Year Two 19,700    
Future Amortization Expense, Year Three 18,800    
Future Amortization Expense, Year Four 17,800    
Future Amortization Expense, Year Five 13,100    
Goodwill and Finite-lived Intangible Assets Rollforward [Roll Forward]      
Finite-Lived Intangible Assets, Net 114,485 150,543 $ 165,331
Finite-lived intangible assets acquired during period 0    
Finite-Lived Intangible Assets, Amortization Expense (22,562) (24,527) (25,500)
Finite-lived intangible assets, other changes (6,447) 12,025  
Goodwill 704,197 717,386 689,713
Goodwill, Acquired During Period 20,742    
Goodwill, Impairment Loss 0 (31,770)  
Goodwill and Intangible Asset Impairment (7,049) (34,056) 0
Goodwill, Other Changes (33,931) 59,443  
Total intangible assets, net, including goodwill 818,682 867,929 $ 855,044
Total intangible assets acquired during period 20,742    
Impairment of Intangible Assets, Finite-lived (7,049) (2,286)  
Total intangible assets amortization expense (22,562) (24,527)  
Total intangible assets, other changes (40,378) 71,468  
Customer Relationships [Member]      
Finite-Lived Intangible Assets [Line Items]      
Acquired intangible assets, accumulated amortization (133,863) (124,967)  
Trademarks and Trade Names [Member]      
Finite-Lived Intangible Assets [Line Items]      
Acquired intangible assets, accumulated amortization (25,837) (25,768)  
Computer Software, Intangible Asset [Member]      
Finite-Lived Intangible Assets [Line Items]      
Acquired intangible assets, accumulated amortization (29,420) (25,142)  
Noncompete Agreements [Member]      
Finite-Lived Intangible Assets [Line Items]      
Acquired intangible assets, accumulated amortization (1,800) (3,265)  
Money Transfer Segment [Member]      
Goodwill and Finite-lived Intangible Assets Rollforward [Roll Forward]      
Goodwill 467,600    
Goodwill and Intangible Asset Impairment (7,049) 0  
Epay Segment [Member]      
Goodwill and Finite-lived Intangible Assets Rollforward [Roll Forward]      
Goodwill 130,900    
Goodwill and Intangible Asset Impairment 0 (31,770)  
Eft Processing Segment [Member]      
Goodwill and Finite-lived Intangible Assets Rollforward [Roll Forward]      
Goodwill 105,700    
Goodwill and Intangible Asset Impairment $ 0 $ (2,286)