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Segments (Details) - USD ($)
$ in Thousands
 3 Months Ended 9 Months Ended
Sep. 30, 2025
Sep. 30, 2024
Sep. 30, 2025
Sep. 30, 2024
Segment Reporting Information [Line Items]        
Revenues, net $ 1,172,480 $ 1,029,197 $ 3,280,177 $ 2,940,158
Expenses:        
Processing 248,761 223,695 709,122 640,305
Selling 117,628 94,160 340,962 283,392
General and administrative 178,611 153,659 512,564 458,698
Depreciation     90,944 88,902
Other operating, net 11,197 5 11,194 306
Operating income 523,120 468,132 1,429,634 1,298,809
Other (income) expense, net 1,383 368 (5,094) 7,788
Interest expense, net 100,035 104,441 290,829 288,206
Loss on early extinguishment of debt 0 5,040 1,596 5,040
Total other expenses, net 101,418 109,849 287,331 301,034
Income before income taxes 421,702 358,283 1,142,303 997,775
Operating Segments        
Segment Reporting Information [Line Items]        
Revenues, net 1,172,480 1,029,197 3,280,177 2,940,158
Expenses:        
Processing 248,761 223,695 709,122 640,305
Selling 117,628 94,160 340,962 283,392
General and administrative 178,611 153,659 512,564 458,698
Depreciation 32,767 30,460 90,944 88,904
Amortization 60,396 59,086 185,757 169,744
Other operating, net 11,197 5 11,194 306
Operating income 523,120 468,132 1,429,634 1,298,809
Capital expenditures 50,908 45,778 148,315 131,067
Operating Segments | Vehicle Payments        
Segment Reporting Information [Line Items]        
Revenues, net 553,192 506,803 1,565,827 1,511,142
Expenses:        
Processing 94,984 91,348 283,678 279,642
Selling 51,143 44,403 144,943 132,491
General and administrative 81,904 76,103 238,388 236,149
Depreciation 19,348 17,501 53,465 52,847
Amortization 28,887 33,134 88,072 97,875
Other operating, net 11,186 5 11,183 110
Operating income 265,740 244,308 746,098 712,028
Capital expenditures 31,353 29,711 96,948 88,159
Operating Segments | Corporate Payments        
Segment Reporting Information [Line Items]        
Revenues, net 409,709 321,850 1,154,272 875,725
Expenses:        
Processing 79,229 69,914 234,257 185,079
Selling 56,926 41,934 165,396 125,090
General and administrative 65,648 49,279 188,850 137,890
Depreciation 7,882 7,202 21,742 21,475
Amortization 22,562 16,643 69,455 43,871
Other operating, net 6 0 6 176
Operating income 177,456 136,876 474,566 362,143
Capital expenditures 12,217 9,167 29,892 24,024
Operating Segments | Lodging Payments        
Segment Reporting Information [Line Items]        
Revenues, net 127,012 134,023 357,027 367,695
Expenses:        
Processing 31,140 31,139 91,638 89,167
Selling 7,697 5,881 23,332 18,780
General and administrative 18,479 19,173 53,705 54,640
Depreciation 4,161 3,525 11,671 9,550
Amortization 8,439 8,803 26,713 26,373
Other operating, net 3 0 5 16
Operating income 57,093 65,501 149,963 169,169
Capital expenditures 5,325 5,012 15,161 14,427
Operating Segments | Other        
Segment Reporting Information [Line Items]        
Revenues, net 82,567 66,521 203,051 185,596
Expenses:        
Processing 43,408 31,294 99,549 86,417
Selling 1,862 1,942 7,291 7,031
General and administrative 12,580 9,104 31,621 30,019
Depreciation 1,376 2,232 4,066 5,032
Amortization 508 506 1,517 1,625
Other operating, net 2 0 0 4
Operating income 22,831 21,447 59,007 55,469
Capital expenditures $ 2,013 $ 1,888 $ 6,314 $ 4,457