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Business Segment Information (Details) - USD ($)
$ in Millions
 12 Months Ended
Dec. 31, 2024
Dec. 31, 2023
Dec. 31, 2022
Segment Reporting Information [Line Items]      
Total revenues $ 3,989.8 $ 3,688.0 $ 3,358.8
Operating expenses:      
Direct operating costs 2,389.3 2,222.8 2,018.2
Salaries and benefits 650.2 602.9 534.2
Selling, general and administrative 315.3 296.8 285.1
Depreciation and amortization 131.8 132.9 135.9
Total operating expenses 3,486.6 3,255.4 2,973.4
Operating income 503.2 432.6 385.4
Other income (expense)      
Interest income 23.8 15.2 2.0
Interest expense (80.5) (55.6) (37.5)
Foreign currency exchange gain (loss), net (19.1) 8.0 (28.2)
Other gains, net 21.5 0.2 0.9
Other expense, net (54.3) (32.2) (62.8)
Income before income taxes 448.9 400.4 322.6
Total Assets 5,834.5 5,894.4 5,403.6
Corporate Services, Eliminations and Other [Member]      
Segment Reporting Information [Line Items]      
Total revenues (8.4) (7.9) (7.8)
Operating expenses:      
Direct operating costs (8.5) (7.9) (7.7)
Salaries and benefits 68.0 74.8 63.5
Selling, general and administrative 15.2 10.1 9.8
Depreciation and amortization 0.6 0.4 0.4
Total operating expenses 75.3 77.4 66.0
Operating income (83.7) (85.3) (73.8)
Other income (expense)      
Total Assets 253.1 326.3 283.8
EFT Processing [Member] | Operating Segments [Member]      
Segment Reporting Information [Line Items]      
Total revenues 1,161.2 1,058.3 924.2
Operating expenses:      
Direct operating costs 605.4 572.1 475.8
Salaries and benefits 146.8 126.5 111.9
Selling, general and administrative 55.1 58.8 57.1
Depreciation and amortization 97.9 94.6 95.4
Total operating expenses 905.2 852.0 740.2
Operating income 256.0 206.3 184.0
Other income (expense)      
Total Assets 2,762.2 2,442.0 2,150.7
epay [Member] | Operating Segments [Member]      
Segment Reporting Information [Line Items]      
Total revenues 1,150.5 1,082.4 997.9
Operating expenses:      
Direct operating costs 872.7 819.1 753.2
Salaries and benefits 102.0 91.1 81.8
Selling, general and administrative 38.6 39.1 36.0
Depreciation and amortization 7.3 6.9 6.2
Total operating expenses 1,020.6 956.2 877.2
Operating income 129.9 126.2 120.7
Other income (expense)      
Total Assets 1,073.7 1,204.9 1,173.3
Money Transfer Segment [Member] | Operating Segments [Member]      
Segment Reporting Information [Line Items]      
Total revenues 1,686.5 1,555.2 1,444.5
Operating expenses:      
Direct operating costs 919.7 839.5 796.9
Salaries and benefits 333.4 310.5 277.0
Selling, general and administrative 206.4 188.8 182.2
Depreciation and amortization 26.0 31.0 33.9
Total operating expenses 1,485.5 1,369.8 1,290.0
Operating income 201.0 185.4 154.5
Other income (expense)      
Total Assets $ 1,745.5 $ 1,921.2 $ 1,795.8