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Goodwill and Acquired Intangible Assets, Net (Details Textual) - USD ($)
12 Months Ended
Dec. 31, 2022
Dec. 31, 2021
Dec. 31, 2020
Finite-Lived Intangible Assets [Line Items]      
Future Amortization Expense, Year One $ 24,100,000    
Future Amortization Expense, Year Two 17,800,000    
Future Amortization Expense, Year Three 14,600,000    
Future Amortization Expense, Year Four 14,300,000    
Future Amortization Expense, Year Five 13,000,000    
Acquired intangible assets, net of accumulated amortization of $185,054 and $175,210 188,275,000 $ 97,793,000 $ 121,883,000
Finite-Lived Intangible Assets, Amortization Expense (26,990,000) (23,059,000)  
Finite-lived intangible assets, other changes 7,283,000 (1,031,000)  
Goodwill 828,344,000 641,605,000 665,821,000
Goodwill and acquired intangible assets impairment 106,602,000
Other (primarily changes in foreign currency exchange rates) 37,557,000 (24,216,000)  
Total intangible assets, net, including goodwill 1,016,619,000 739,398,000 787,704,000
Total intangible assets acquired during period 349,051,000    
Total intangible assets amortization expense (26,990,000) (23,059,000)  
Total intangible assets, other changes 44,840,000 (25,247,000)  
Goodwill [Member]      
Finite-Lived Intangible Assets [Line Items]      
Finite-Lived Intangible Assets, Amortization Expense (27,000,000) $ (23,100,000) (22,900,000)
Goodwill 828,300,000    
Money Transfer Segment [Member]      
Finite-Lived Intangible Assets [Line Items]      
Goodwill 383.7    
Goodwill and acquired intangible assets impairment     84,741,000
Epay Segment [Member]      
Finite-Lived Intangible Assets [Line Items]      
Goodwill 123,100,000    
Goodwill and acquired intangible assets impairment    
EFT Processing Segment [Member]      
Finite-Lived Intangible Assets [Line Items]      
Goodwill $ 321,500,000    
Goodwill and acquired intangible assets impairment     $ 21,861,000