Segment Information - Segment Results (Details) - USD ($) $ in Thousands	3 Months Ended		6 Months Ended
	Jun. 29, 2025	Jun. 30, 2024	Jun. 29, 2025	Jun. 30, 2024
Segment Reporting Information [Line Items]
Total revenues	$ 529,166	$ 507,894	$ 1,047,475	$ 1,021,810
General and administrative expenses	70,118	57,046	135,285	114,923
Revenues from external customers
Segment Reporting Information [Line Items]
Total revenues	470,186	452,360	928,563	914,241
Revenues from external customers | Domestic Company-owned restaurants
Segment Reporting Information [Line Items]
Total revenues	175,797	173,207	346,592	349,431
Revenues from external customers | North America franchising
Segment Reporting Information [Line Items]
Total revenues	35,359	34,409	70,911	70,106
Revenues from external customers | North America commissaries
Segment Reporting Information [Line Items]
Total revenues	214,846	198,197	427,765	401,484
Revenues from external customers | International
Segment Reporting Information [Line Items]
Total revenues	44,184	46,547	83,295	93,220
Intersegment revenues
Segment Reporting Information [Line Items]
Total revenues	(54,057)	(51,344)	(106,774)	(101,660)
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	(1,244)	(1,041)	(2,503)	(2,090)
Intersegment revenues | North America commissaries
Segment Reporting Information [Line Items]
Total revenues	(52,813)	(50,303)	(104,271)	(99,570)
Intersegment revenues | International
Segment Reporting Information [Line Items]
Total revenues	0	0	0	0
Operating segments
Segment Reporting Information [Line Items]
Total revenues	524,243	503,704	1,035,337	1,015,901
COS - Product Costs	256,823	245,968	509,577	491,114
COS - Salaries & Benefits	89,228	90,441	178,754	182,973
COS - Other	71,334	68,574	139,584	139,146
General and administrative expenses	40,004	36,236	78,453	72,483
Other segment expenses	4,858	3,049	9,959	5,935
Total Segment adjusted EBITDA	61,996	59,436	119,010	124,250
Operating segments | Domestic Company-owned restaurants
Segment Reporting Information [Line Items]
Total revenues	175,797	173,207	346,592	349,431
COS - Product Costs	53,196	50,961	105,333	101,489
COS - Salaries & Benefits	57,203	56,507	115,180	113,978
COS - Other	45,586	42,794	90,485	85,901
General and administrative expenses	9,948	9,471	20,698	19,650
Other segment expenses	0	0	0	0
Total Segment adjusted EBITDA	9,864	13,474	14,896	28,413
Operating segments | North America franchising
Segment Reporting Information [Line Items]
Total revenues	36,603	35,450	73,414	72,196
COS - Product Costs	0	0	0	0
COS - Salaries & Benefits	0	0	0	0
COS - Other	0	0	0	0
General and administrative expenses	9,760	8,243	19,323	16,482
Other segment expenses	0	0	0	0
Total Segment adjusted EBITDA	26,843	27,207	54,091	55,714
Operating segments | North America commissaries
Segment Reporting Information [Line Items]
Total revenues	267,659	248,500	532,036	501,054
COS - Product Costs	190,554	181,272	380,024	363,397
COS - Salaries & Benefits	30,061	28,911	60,043	58,492
COS - Other	16,378	14,328	32,659	28,911
General and administrative expenses	11,014	8,947	20,306	18,037
Other segment expenses	0	0	0	0
Total Segment adjusted EBITDA	19,652	15,042	39,004	32,217
Operating segments | International
Segment Reporting Information [Line Items]
Total revenues	44,184	46,547	83,295	93,220
COS - Product Costs	13,073	13,735	24,220	26,228
COS - Salaries & Benefits	1,964	5,023	3,531	10,503
COS - Other	9,370	11,452	16,440	24,334
General and administrative expenses	9,282	9,575	18,126	18,314
Other segment expenses	4,858	3,049	9,959	5,935
Total Segment adjusted EBITDA	$ 5,637	$ 3,713	$ 11,019	$ 7,906