Segment Information - Segment Results (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	Sep. 28, 2025	Sep. 29, 2024	Sep. 28, 2025	Sep. 29, 2024
Segment Reporting Information [Line Items]
Total revenues	$ 508,154	$ 506,807	$ 1,555,629	$ 1,528,617
General & Administrative	56,478	12,883	191,763	127,806
Revenues from external customers
Segment Reporting Information [Line Items]
Total revenues	453,115	451,990	1,381,678	1,366,231
Revenues from external customers | Domestic Company-Owned Restaurants
Segment Reporting Information [Line Items]
Total revenues	165,194	168,672	511,786	518,103
Revenues from external customers | North America Franchising
Segment Reporting Information [Line Items]
Total revenues	33,797	33,831	104,708	103,937
Revenues from external customers | North America Commissaries
Segment Reporting Information [Line Items]
Total revenues	209,403	210,389	637,168	611,873
Revenues from external customers | International
Segment Reporting Information [Line Items]
Total revenues	44,721	39,098	128,016	132,318
Intersegment revenues
Segment Reporting Information [Line Items]
Total revenues	(51,247)	(53,074)	(158,020)	(154,734)
Intersegment revenues | Domestic Company-Owned Restaurants
Segment Reporting Information [Line Items]
Total revenues	0	0	0	0
Intersegment revenues | North America Franchising
Segment Reporting Information [Line Items]
Total revenues	(1,161)	(1,011)	(3,664)	(3,101)
Intersegment revenues | North America Commissaries
Segment Reporting Information [Line Items]
Total revenues	(50,086)	(52,063)	(154,356)	(151,633)
Intersegment revenues | International
Segment Reporting Information [Line Items]
Total revenues	0	0	0	0
Operating segments
Segment Reporting Information [Line Items]
Total revenues	504,362	505,064	1,539,698	1,520,965
COS - Product Costs	249,879	257,817	759,454	748,929
COS - Salaries & Benefits	88,117	87,476	266,873	270,449
COS - other	71,413	68,903	210,996	208,047
General & Administrative	36,484	35,832	114,937	108,315
Other segment expenses	4,519	3,284	14,479	9,219
Adjusted EBITDA	53,950	51,752	172,959	176,006
Operating segments | Domestic Company-Owned Restaurants
Segment Reporting Information [Line Items]
Total revenues	165,194	168,672	511,786	518,103
COS - Product Costs	49,836	52,953	155,169	154,441
COS - Salaries & Benefits	55,124	56,554	170,305	170,532
COS - other	45,957	45,577	136,441	131,478
General & Administrative	10,335	9,234	31,033	28,884
Other segment expenses	0	0	0	0
Adjusted EBITDA	3,942	4,354	18,838	32,768
Operating segments | North America Franchising
Segment Reporting Information [Line Items]
Total revenues	34,958	34,842	108,372	107,038
COS - Product Costs	0	0	0	0
COS - Salaries & Benefits	0	0	0	0
COS - other	0	0	0	0
General & Administrative	9,452	8,181	28,776	24,662
Other segment expenses	0	0	0	0
Adjusted EBITDA	25,506	26,661	79,596	82,376
Operating segments | North America Commissaries
Segment Reporting Information [Line Items]
Total revenues	259,489	262,452	791,524	763,506
COS - Product Costs	186,617	191,868	566,640	555,264
COS - Salaries & Benefits	31,052	29,307	91,095	87,799
COS - other	16,779	16,118	49,439	45,028
General & Administrative	5,839	8,473	26,145	26,511
Other segment expenses	0	0	0	0
Adjusted EBITDA	19,202	16,686	58,205	48,904
Operating segments | International
Segment Reporting Information [Line Items]
Total revenues	44,721	39,098	128,016	132,318
COS - Product Costs	13,426	12,996	37,645	39,224
COS - Salaries & Benefits	1,941	1,615	5,473	12,118
COS - other	8,677	7,208	25,116	31,541
General & Administrative	10,858	9,944	28,983	28,258
Other segment expenses	4,519	3,284	14,479	9,219
Adjusted EBITDA	$ 5,300	$ 4,051	$ 16,320	$ 11,958