Segments - Schedule of Company's Segment Results (Detail) - USD ($) $ in Thousands	12 Months Ended
	Dec. 31, 2024	Dec. 31, 2023	Dec. 31, 2022
Segment Reporting Information [Line Items]
Revenues, net	$ 3,974,589	$ 3,757,719	$ 3,427,129
Expenses:
Processing	869,085	819,908	764,707
Selling	380,906	340,157	309,082
General and administrative	616,874	603,424	584,135
Depreciation	120,106	109,983	92,010
Goodwill impairment	90,000	0	0
Other operating, net	789	753	282
Gain on disposition of business	121,310	13,712	0
Operating income	1,787,157	1,656,873	1,446,641
Investment (gain) loss	239	(116)	1,382
Other income, net	13,722	(16,623)	3,003
Interest expense, net	383,043	348,607	164,662
Loss on extinguishment of debt	5,040	0	1,934
Total other expense, net	402,044	331,868	170,981
Income before income taxes	1,385,113	1,325,005	1,275,660
Vehicle Payments
Expenses:
Goodwill impairment	0	0
Corporate Payments
Expenses:
Goodwill impairment	0	0
Lodging Payments
Expenses:
Goodwill impairment	0	0
Operating Segments
Segment Reporting Information [Line Items]
Revenues, net	3,974,589	3,757,719	3,427,129
Expenses:
Processing	869,085	819,908	764,707
Selling	380,906	340,157	309,082
General and administrative	616,874	603,424	584,135
Depreciation	120,106	109,983	92,010
Amortization	230,982	226,621	230,272
Goodwill impairment	90,000
Other operating, net	789	753	282
Gain on disposition of business	121,310
Operating income	1,787,157	1,656,873	1,446,641
Capital expenditures	175,176	153,822	151,428
Long-lived assets (excluding goodwill and investments)	377,705	343,154	294,692
Operating Segments | Vehicle Payments
Segment Reporting Information [Line Items]
Revenues, net	2,008,799	2,005,510	1,950,038
Expenses:
Processing	365,457	377,603	361,695
Selling	175,750	167,614	174,230
General and administrative	311,784	314,892	330,899
Depreciation	70,178	69,886	62,930
Amortization	129,988	132,019	135,565
Goodwill impairment	0
Other operating, net	82	98	226
Gain on disposition of business	121,310
Operating income	1,076,870	943,399	884,493
Capital expenditures	117,410	108,592	111,661
Long-lived assets (excluding goodwill and investments)	258,942	252,499	218,680
Operating Segments | Corporate Payments
Segment Reporting Information [Line Items]
Revenues, net	1,221,915	981,127	769,571
Expenses:
Processing	264,298	212,144	179,339
Selling	172,365	137,512	104,359
General and administrative	192,853	170,075	139,690
Depreciation	29,949	22,356	14,987
Amortization	63,367	56,323	57,599
Goodwill impairment	0
Other operating, net	686	629	35
Gain on disposition of business	0
Operating income	498,397	382,085	273,562
Capital expenditures	32,587	25,387	20,777
Long-lived assets (excluding goodwill and investments)	67,379	48,822	39,240
Operating Segments | Lodging Payments
Segment Reporting Information [Line Items]
Revenues, net	488,589	520,216	456,511
Expenses:
Processing	119,645	117,203	103,615
Selling	24,317	24,597	19,711
General and administrative	72,526	77,219	72,180
Depreciation	13,205	11,070	7,968
Amortization	35,494	35,833	34,398
Goodwill impairment	0
Other operating, net	14	25	2
Gain on disposition of business	0
Operating income	223,388	254,270	218,637
Capital expenditures	19,622	13,705	10,570
Long-lived assets (excluding goodwill and investments)	35,105	24,697	17,884
Operating Segments | Other
Segment Reporting Information [Line Items]
Revenues, net	255,286	250,866	251,009
Expenses:
Processing	119,685	112,958	120,058
Selling	8,474	10,435	10,782
General and administrative	39,711	41,237	41,366
Depreciation	6,774	6,671	6,125
Amortization	2,133	2,446	2,710
Goodwill impairment	90,000
Other operating, net	7	1	19
Gain on disposition of business	0
Operating income	(11,498)	77,119	69,949
Capital expenditures	5,557	6,138	8,420
Long-lived assets (excluding goodwill and investments)	$ 16,279	$ 17,136	$ 18,888