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Segments (Details) - USD ($)
$ in Thousands
 3 Months Ended 6 Months Ended
Jun. 30, 2026
Jun. 30, 2025
Jun. 30, 2026
Jun. 30, 2025
Segment Reporting [Line Items]        
Number Of Reportable Segments Not Disclosed Flag     segments  
Revenues, net $ 1,338,809 $ 1,102,030 $ 2,599,796 $ 2,107,697
Expenses:        
Processing 275,165 238,517 547,227 460,361
Selling 150,607 115,777 298,814 223,334
General and administrative 223,674 176,994 427,473 333,953
Depreciation     72,100 58,177
Other operating, net 99,891 2 107,242 (3)
Gain on disposition of business     122,522 0
Operating income 472,274 479,390 1,108,439 906,514
Other expense, net 6,278 (10,572) 27,326 (6,477)
Interest expense, net 114,719 96,872 224,819 190,794
Loss on early extinguishment of debt 6,557 0 6,557 1,596
Total other expenses, net 127,554 86,300 258,702 185,913
Income before income taxes 344,720 393,090 849,737 720,601
Operating Segments        
Segment Reporting [Line Items]        
Revenues, net 1,338,809 1,102,030 2,599,796 2,107,697
Expenses:        
Processing 275,165 238,517 547,227 460,361
Selling 150,607 115,777 298,814 223,334
General and administrative 223,674 176,994 427,473 333,953
Depreciation 36,722 29,780 72,100 58,177
Amortization 81,575 61,570 161,023 125,361
Other operating, net 99,891 2 107,242 (3)
Gain on disposition of business 1,099   122,522  
Operating income 472,274 479,390 1,108,439 906,514
Capital expenditures 54,436 52,636 105,529 97,407
Operating Segments | Corporate Payments        
Segment Reporting [Line Items]        
Revenues, net 548,724 387,305 1,052,591 732,421
Expenses:        
Processing 101,071 77,847 206,113 156,714
Selling 83,390 56,798 160,176 107,633
General and administrative 108,005 65,350 197,413 121,234
Depreciation 9,754 7,295 19,149 13,188
Amortization 47,526 23,078 91,380 46,892
Other operating, net (664) 0 (363) 0
Gain on disposition of business 0   0  
Operating income 199,642 156,937 378,723 286,760
Capital expenditures 12,938 10,095 23,901 17,675
Operating Segments | Vehicle Payments        
Segment Reporting [Line Items]        
Revenues, net 580,209 512,027 1,144,112 986,305
Expenses:        
Processing 109,258 97,325 215,911 184,526
Selling 51,550 47,292 109,247 92,767
General and administrative 82,942 80,100 166,616 152,066
Depreciation 20,061 16,858 39,446 33,336
Amortization 26,644 28,807 54,829 59,184
Other operating, net 100,800 2 107,728 (3)
Gain on disposition of business 1,099   122,522  
Operating income 190,053 241,643 572,857 464,429
Capital expenditures 32,575 34,917 62,613 65,595
Operating Segments | Lodging Payments        
Segment Reporting [Line Items]        
Revenues, net 123,183 119,790 234,157 230,015
Expenses:        
Processing 32,540 30,520 63,146 60,499
Selling 10,376 8,449 19,367 16,153
General and administrative 19,238 18,567 36,455 35,242
Depreciation 4,741 3,784 9,163 7,510
Amortization 6,898 9,176 13,799 18,274
Other operating, net (110) 0 (38) 0
Gain on disposition of business 0   0  
Operating income 49,500 49,294 92,265 92,337
Capital expenditures 6,865 5,107 14,904 9,836
Operating Segments | Other        
Segment Reporting [Line Items]        
Revenues, net 86,693 82,908 168,936 158,956
Expenses:        
Processing 32,296 32,825 62,057 58,622
Selling 5,291 3,238 10,024 6,781
General and administrative 13,489 12,977 26,989 25,411
Depreciation 2,166 1,843 4,342 4,143
Amortization 507 509 1,015 1,011
Other operating, net (135) 0 (85) 0
Gain on disposition of business 0   0  
Operating income 33,079 31,516 64,594 62,988
Capital expenditures $ 2,058 $ 2,517 $ 4,111 $ 4,301