Restatement of Previous Unaudited Interim Financial Statements (Unaudited) (Detail) - USD ($) $ / shares in Units, shares in Thousands, $ in Thousands	3 Months Ended				6 Months Ended	9 Months Ended	12 Months Ended
	Dec. 31, 2023	Sep. 30, 2023	Jun. 30, 2023	Mar. 31, 2023	Jun. 30, 2023	Sep. 30, 2023	Dec. 31, 2023	Dec. 31, 2022	Dec. 31, 2021	Dec. 31, 2020
Current assets:
Restricted cash	$ 1,751,887	$ 1,702,040	$ 1,729,272	$ 1,546,945	$ 1,729,272	$ 1,702,040	$ 1,751,887	$ 854,017
Accounts and other receivables	2,161,586	2,578,601	2,450,800	2,367,855	2,450,800	2,578,601	2,161,586	2,064,745
Other current assets	474,144	2,983,704	3,005,927	2,992,792	3,005,927	2,983,704	474,144	465,227
Total current assets	7,084,265	7,264,345	7,185,999	6,907,592	7,185,999	7,264,345	7,084,265	6,106,152
Goodwill	5,644,958	5,553,546	5,473,603	5,380,050	5,473,603	5,553,546	5,644,958	5,201,435	$ 5,078,978
Other intangibles, net	2,085,663	2,164,999	2,107,081	2,197,587	2,107,081	2,164,999	2,085,663	2,130,974
Other assets	248,691	685,664	674,400	651,314	674,400	685,664	248,691	281,726
Total assets	15,476,252	15,668,554	15,441,083	15,136,543	15,441,083	15,668,554	15,476,252	14,089,260
Current liabilities:
Accounts payable	1,624,995	1,818,606	1,669,852	1,906,461	1,669,852	1,818,606	1,624,995	1,568,942
Customer deposits	2,397,279	2,264,072	2,285,516	2,031,004	2,285,516	2,264,072	2,397,279	1,505,004
Other current liabilities	320,612	3,059,628	2,742,952	2,814,700	2,742,952	3,059,628	320,612	303,517
Total current liabilities	6,825,753	7,142,306	6,698,320	6,752,165	6,698,320	7,142,306	6,825,753	6,043,455
Long-term portion	4,596,156	4,637,211	4,678,258	4,700,550	4,678,258	4,637,211	4,596,156	4,722,838
Other noncurrent liabilities	301,752	829,586	801,069	801,968	801,069	829,586	301,752	254,009
Total noncurrent liabilities	5,368,140	5,466,797	5,479,327	5,502,518	5,479,327	5,466,797	5,368,140	5,504,312
Stockholders’ equity:
Additional paid-in capital	3,266,185	3,227,476	3,176,562	3,109,065	3,176,562	3,227,476	3,266,185	3,049,570
Retained earnings	8,192,659	7,936,802	7,665,306	7,425,604	7,665,306	7,936,802	8,192,659	7,210,769
Other equity		(8,104,827)	(7,578,432)	(7,652,809)	(7,578,432)	(8,104,827)
Total stockholders’ equity	3,282,359	3,059,451	3,263,436	2,881,860	3,263,436	3,059,451	3,282,359	2,541,493	2,866,580	$ 3,355,411
Total liabilities and stockholders’ equity	15,476,252	15,668,554	15,441,083	15,136,543	15,441,083	15,668,554	15,476,252	14,089,260
Operating activities
Net income		271,496	239,702	214,835	454,537	726,033	981,890	954,327	839,497
Accounts and other receivables				372,342	(355,722)	(732,813)	(210,261)	(598,674)	(731,137)
Accounts payable, accrued expenses and customer deposits				102,112	611,073	832,667	713,976	(83,951)	480,506
Other				188,376	389,072	558,743
Net cash provided by operating activities				877,665	1,098,960	1,384,630	2,101,132	754,797	1,197,063
Investing activities
Acquisitions, net of cash acquired						(429,914)	(428,327)	(216,917)	(602,120)
Proceeds from Divestiture of Businesses, Net of Cash Divested						197,025
Other						(112,757)
Net cash used in investing activities				(159,027)	(201,215)	(345,646)	(380,723)	(368,345)	(715,931)
Financing activities
Repurchase of common stock						(546,910)	(686,859)	(1,405,200)	(1,355,722)
Borrowings from revolver				1,964,000	4,351,000	6,495,000
Payments on revolver				(2,490,000)	(4,817,000)	(6,770,000)
Borrowings on swing line of credit, net				310,719	255,750	180,723	135,568	194	(51,049)
Other				(2,434)	(31,561)	139,728
Net cash (used in) provided by financing activities				(217,715)	(241,811)	(501,459)	(898,211)	(311,228)	343,928
Effect of foreign currency exchange rates on cash				29,298	38,401	(30,431)	30,157	(36,739)	(50,984)
Net increase/(decrease) in cash, cash equivalents and restricted cash				530,221	694,335	507,094	852,355	38,485	774,076
Cash, cash equivalents and restricted cash at beginning of period	2,796,274	2,983,515	2,819,401	2,289,180	2,289,180	2,289,180	2,289,180	2,250,695	1,476,619
Cash, cash equivalents and restricted cash at end of period	3,141,535	2,796,274	2,983,515	2,819,401	2,983,515	2,796,274	3,141,535	2,289,180	2,250,695
Revenues, net		970,892	948,174	901,333	1,849,507	2,820,399	3,757,719	3,427,129	2,833,736
Expenses:
Processing		208,217	205,265	204,967	410,232	618,449	819,908	764,707	559,819
Selling		85,954	86,412	81,592	168,004	253,958	340,157	309,082	262,118
General and administrative		147,839	159,356	154,684	314,040	461,879	603,424	584,135	485,830
Depreciation and amortization		84,750	83,676	84,232	167,908	252,658	336,604	322,282	284,197
Other Operating Income (Expense), Net		(845)	815	663	1,478	633	753	282	(784)
Operating income		444,977	412,650	375,195	787,845	1,232,822	1,656,873	1,446,641	1,242,556
Investment loss (gain)		30	18	(190)	(172)	(142)	(116)	1,382	(9)
Other Nonoperating Income (Expense)		(13,432)	(2,424)	746	(1,678)	(15,110)	(16,623)	3,003	3,858
Interest Income (Expense), Net		88,285	88,486	79,795	168,281	256,566	348,607	164,662	113,705
Nonoperating Income (Expense)		74,883	86,080	80,351	166,431	241,314	331,868	170,981	133,748
Income before income taxes		370,094	326,570	294,844	621,414	991,508	1,325,005	1,275,660	1,108,808
Provision for income taxes		98,598	86,868	80,009	166,877	265,475	343,115	321,333	269,311
Net income		$ 271,496	$ 239,702	$ 214,835	$ 454,537	$ 726,033	$ 981,890	$ 954,327	$ 839,497
Earnings per share:
Basic earnings per share (in dollars per share)		$ 3.71	$ 3.24	$ 2.92	$ 6.17	$ 9.87	$ 13.42	$ 12.62	$ 10.23
Diluted earnings per share (in dollars per share)		$ 3.64	$ 3.20	$ 2.88	$ 6.08	$ 9.72	$ 13.20	$ 12.42	$ 9.99
Weighted average shares outstanding:
Basic shares (in shares)		73,165	73,887	73,521	73,705	73,523	73,155	75,598	82,060
Weighted Average Number of Shares Outstanding, Diluted		74,604	75,001	74,483	74,763	74,733	74,387	76,862	84,061
Previously Reported
Current assets:
Restricted cash		$ 1,221,279	$ 1,456,992	$ 996,945	$ 1,456,992	$ 1,221,279
Accounts and other receivables		2,655,275	2,460,650	2,369,235	2,460,650	2,655,275
Other current assets		2,983,704	3,005,927	2,992,792	3,005,927	2,983,704
Total current assets		6,860,258	6,923,569	6,358,972	6,923,569	6,860,258
Goodwill		5,553,546	5,473,603	5,380,050	5,473,603	5,553,546
Other intangibles, net		2,164,999	2,107,081	2,197,587	2,107,081	2,164,999
Other assets		685,664	674,400	651,314	674,400	685,664
Total assets		15,264,467	15,178,653	14,587,923	15,178,653	15,264,467
Current liabilities:
Accounts payable		1,895,280	1,679,702	1,907,841	1,679,702	1,895,280
Customer deposits		1,783,311	2,013,236	1,481,004	2,013,236	1,783,311
Other current liabilities		3,059,628	2,742,952	2,814,700	2,742,952	3,059,628
Total current liabilities		6,738,219	6,435,890	6,203,545	6,435,890	6,738,219
Long-term portion		4,637,211	4,678,258	4,700,550	4,678,258	4,637,211
Other noncurrent liabilities		829,586	801,069	801,968	801,069	829,586
Total noncurrent liabilities		5,466,797	5,479,327	5,502,518	5,479,327	5,466,797
Stockholders’ equity:
Additional paid-in capital		3,227,476	3,176,562	3,109,065	3,176,562	3,227,476
Retained earnings		7,936,802	7,665,306	7,425,604	7,665,306	7,936,802
Other equity		(8,104,827)	(7,578,432)	(7,652,809)	(7,578,432)	(8,104,827)
Total stockholders’ equity		3,059,451	3,263,436	2,881,860	3,263,436	3,059,451
Total liabilities and stockholders’ equity		15,264,467	15,178,653	14,587,923	15,178,653	15,264,467
Operating activities
Net income				214,835	454,537	726,033
Accounts and other receivables				370,962	(365,572)	(809,487)
Accounts payable, accrued expenses and customer deposits				(446,508)	348,643	428,580
Other				188,376	389,072	558,743
Net cash provided by operating activities				327,665	826,680	903,869
Investing activities
Acquisitions, net of cash acquired						(429,914)
Proceeds from Divestiture of Businesses, Net of Cash Divested						197,025
Other						(112,757)
Net cash used in investing activities				(159,027)	(201,215)	(345,646)
Financing activities
Repurchase of common stock						(546,910)
Borrowings from revolver				1,964,000	4,351,000	6,495,000
Payments on revolver				(2,490,000)	(4,817,000)	(6,770,000)
Borrowings on swing line of credit, net				310,719	255,750	180,723
Other				(2,434)	(31,561)	139,728
Net cash (used in) provided by financing activities				(217,715)	(241,811)	(501,459)
Effect of foreign currency exchange rates on cash				29,298	38,401	(30,431)
Net increase/(decrease) in cash, cash equivalents and restricted cash				(19,779)	422,055	26,333
Cash, cash equivalents and restricted cash at beginning of period	2,315,513	2,711,235	2,269,401	2,289,180	2,289,180	2,289,180	$ 2,289,180
Cash, cash equivalents and restricted cash at end of period		2,315,513	2,711,235	2,269,401	2,711,235	2,315,513		$ 2,289,180
Expenses:
Net income				214,835	454,537	726,033
Revision of Prior Period, Error Correction, Adjustment
Current assets:
Restricted cash		480,761	272,280	550,000	272,280	480,761
Accounts and other receivables		(76,674)	(9,850)	(1,380)	(9,850)	(76,674)
Other current assets		0	0	0	0	0
Total current assets		404,087	262,430	548,620	262,430	404,087
Goodwill		0	0	0	0	0
Other intangibles, net		0	0	0	0	0
Other assets		0	0	0	0	0
Total assets		404,087	262,430	548,620	262,430	404,087
Current liabilities:
Accounts payable		(76,674)	(9,850)	(1,380)	(9,850)	(76,674)
Customer deposits		480,761	272,280	550,000	272,280	480,761
Other current liabilities		0	0	0	0	0
Total current liabilities		404,087	262,430	548,620	262,430	404,087
Long-term portion		0	0	0	0	0
Other noncurrent liabilities		0	0	0	0	0
Total noncurrent liabilities		0	0	0	0	0
Stockholders’ equity:
Additional paid-in capital		0	0	0	0	0
Retained earnings		0	0	0	0	0
Other equity		0	0	0	0	0
Total stockholders’ equity		0	0	0	0	0
Total liabilities and stockholders’ equity		404,087	262,430	548,620	262,430	404,087
Operating activities
Net income				0	0	0
Accounts and other receivables				1,380	9,850	76,674
Accounts payable, accrued expenses and customer deposits				548,620	262,430	404,087
Other				0	0	0
Net cash provided by operating activities				550,000	272,280	480,761
Investing activities
Acquisitions, net of cash acquired						0
Proceeds from Divestiture of Businesses, Net of Cash Divested						0
Other						0
Net cash used in investing activities				0	0	0
Financing activities
Repurchase of common stock						0
Borrowings from revolver				0	0	0
Payments on revolver				0	0	0
Borrowings on swing line of credit, net				0	0	0
Other				0	0	0
Net cash (used in) provided by financing activities				0	0	0
Effect of foreign currency exchange rates on cash				0	0	0
Net increase/(decrease) in cash, cash equivalents and restricted cash				550,000	272,280	480,761
Cash, cash equivalents and restricted cash at beginning of period	$ 480,761	272,280	550,000	0	0	0	$ 0
Cash, cash equivalents and restricted cash at end of period		$ 480,761	$ 272,280	550,000	272,280	480,761		$ 0
Expenses:
Net income				$ 0	$ 0	$ 0