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Segments - Schedule of Company's Segment Results (Detail) - USD ($)
$ in Thousands
 3 Months Ended
Mar. 31, 2025
Mar. 31, 2024
Segment Reporting Information [Line Items]    
Revenues, net $ 1,005,667 $ 935,251
Expenses:    
Processing 221,844 207,411
Selling 107,557 94,188
General and administrative 156,959 151,262
Depreciation 28,396 28,931
Other operating, net (5) 292
Operating income 427,124 397,338
Other expense, net 4,095 2,960
Interest expense, net 93,922 89,088
Loss on extinguishment of debt 1,596 0
Total other expenses 99,613 92,048
Income before income taxes 327,511 305,290
Operating Segments    
Segment Reporting Information [Line Items]    
Revenues, net 1,005,667 935,251
Expenses:    
Processing 221,844 207,411
Selling 107,557 94,188
General and administrative 156,959 151,262
Depreciation 28,397 28,931
Amortization 63,791 55,829
Other operating, net (5) 292
Operating income 427,124 397,338
Capital expenditures 44,771 41,193
Long-lived assets (excluding goodwill and investments) 401,523 351,831
Operating Segments | Vehicle Payments    
Segment Reporting Information [Line Items]    
Revenues, net 487,110 494,061
Expenses:    
Processing 89,750 94,053
Selling 45,900 42,987
General and administrative 73,964 80,909
Depreciation 16,898 17,712
Amortization 30,377 32,609
Other operating, net (5) 96
Operating income 230,226 225,695
Capital expenditures 30,678 28,195
Long-lived assets (excluding goodwill and investments) 275,576 251,879
Operating Segments | Corporate Payments    
Segment Reporting Information [Line Items]    
Revenues, net 352,659 265,396
Expenses:    
Processing 77,572 55,369
Selling 51,955 41,849
General and administrative 57,067 42,488
Depreciation 6,345 6,937
Amortization 23,814 13,866
Other operating, net 0 176
Operating income 135,906 104,711
Capital expenditures 7,580 7,276
Long-lived assets (excluding goodwill and investments) 71,733 57,974
Operating Segments | Lodging Payments    
Segment Reporting Information [Line Items]    
Revenues, net 110,224 111,295
Expenses:    
Processing 29,978 29,181
Selling 7,460 6,167
General and administrative 16,667 17,025
Depreciation 3,726 2,837
Amortization 9,098 8,793
Other operating, net 0 16
Operating income 43,295 47,276
Capital expenditures 4,729 4,826
Long-lived assets (excluding goodwill and investments) 37,266 27,559
Operating Segments | Other    
Segment Reporting Information [Line Items]    
Revenues, net 55,674 64,499
Expenses:    
Processing 24,544 28,808
Selling 2,242 3,185
General and administrative 9,261 10,840
Depreciation 1,428 1,445
Amortization 502 561
Other operating, net 0 4
Operating income 17,697 19,656
Capital expenditures 1,784 896
Long-lived assets (excluding goodwill and investments) $ 16,948 $ 14,419