Consolidated Statements of Cash Flows - USD ($) $ in Thousands	12 Months Ended
	Dec. 29, 2024	Dec. 31, 2023	Jan. 01, 2023
Cash flows from operating activities:
Net income	$ 194,357	$ 204,440	$ 177,370
Adjustments to reconcile net income to net cash provided by operating activities:
Depreciation and amortization (exclusive of amortization of cloud computing arrangements shown separately below)	143,234	135,789	133,414
Amortization of cloud computing arrangements	14,701	12,778	2,394
Share-based compensation	23,019	23,747	24,538
Impairment of long-lived assets	9,713	1,401	6,420
Deferred income tax	(5,529)	(807)	4,305
Non-cash rental expense, net	41,904	40,655	33,915
Change in operating lease liabilities	(48,911)	(47,212)	(45,682)
Net (recognition) receipt of deferred vendor incentives	(586)	1,034	(1,060)
System optimization gains, net	(1,219)	(880)	(6,779)
Gain on sale of investments, net	0	(31)	0
Distributions received from TimWen joint venture	14,408	12,901	12,612
Equity in earnings in joint ventures, net	(11,607)	(10,819)	(9,422)
Long-term debt related activities, net (see Note 20)	7,479	5,320	7,762
Cloud computing arrangements expenditures	(18,815)	(32,902)	(30,220)
Other, net	14,542	22,883	(4,554)
Changes in operating assets and liabilities:
Accounts and notes receivable	(5,158)	430	(5,857)
Inventories	138	439	(1,203)
Prepaid expenses and other current assets	(1,795)	(672)	6,769
Advertising funds restricted assets and liabilities	(20,733)	(18,210)	(30,503)
Accounts payable	1,026	(8,826)	(1,533)
Accrued expenses and other current liabilities	5,139	3,958	(12,782)
Net cash provided by operating activities	355,307	345,416	259,904
Cash flows from investing activities:
Capital expenditures	(94,388)	(85,021)	(85,544)
Franchise development fund	41,246	7,951	3,605
Dispositions	4,946	2,115	8,237
Proceeds from sale of investments	0	31	0
Notes receivable, net	1,383	4,280	3,136
Net cash used in investing activities	(129,305)	(86,546)	(77,776)
Cash flows from financing activities:
Proceeds from long-term debt	0	0	500,000
Repayments of long-term debt	(29,250)	(94,702)	(26,750)
Repayments of finance lease liabilities	(20,404)	(21,588)	(17,312)
Deferred financing costs	0	0	(10,232)
Repurchases of common stock	(77,375)	(189,554)	(51,950)
Dividends	(204,443)	(209,253)	(106,779)
Proceeds from stock option exercises	32,859	14,667	4,865
Payments related to tax withholding for share-based compensation	(4,485)	(3,873)	(3,168)
Net cash (used in) provided by financing activities	(303,098)	(504,303)	288,674
Net cash (used in) provided by operations before effect of exchange rate changes on cash	(77,096)	(245,433)	470,802
Effect of exchange rate changes on cash	(8,112)	2,448	(5,967)
Net (decrease) increase in cash, cash equivalents and restricted cash	(85,208)	(242,985)	464,835
Cash, cash equivalents and restricted cash at beginning of period	588,816	831,801	366,966
Cash, cash equivalents and restricted cash at end of period	$ 503,608	$ 588,816	$ 831,801