Segment Information - Segment Results (Details) - USD ($) $ in Thousands	3 Months Ended
	Mar. 30, 2025	Mar. 31, 2024
Segment Reporting Information [Line Items]
Total revenues	$ 518,309	$ 513,916
General and administrative expenses	65,167	57,877
Revenues from external customers
Segment Reporting Information [Line Items]
Total revenues	458,376	461,881
Revenues from external customers | Domestic Company-owned restaurants
Segment Reporting Information [Line Items]
Total revenues	170,795	176,224
Revenues from external customers | North America franchising
Segment Reporting Information [Line Items]
Total revenues	35,552	35,697
Revenues from external customers | North America commissaries
Segment Reporting Information [Line Items]
Total revenues	212,918	203,287
Revenues from external customers | International
Segment Reporting Information [Line Items]
Total revenues	39,111	46,673
Intersegment revenues
Segment Reporting Information [Line Items]
Total revenues	(52,717)	(50,316)
Intersegment revenues | Domestic Company-owned restaurants
Segment Reporting Information [Line Items]
Total revenues	0	0
Intersegment revenues | North America franchising
Segment Reporting Information [Line Items]
Total revenues	(1,259)	(1,049)
Intersegment revenues | North America commissaries
Segment Reporting Information [Line Items]
Total revenues	(51,458)	(49,267)
Intersegment revenues | International
Segment Reporting Information [Line Items]
Total revenues	0	0
Operating segments
Segment Reporting Information [Line Items]
Total revenues	511,093	512,197
COS - Product Costs	252,752	245,146
COS - Salaries & Benefits	89,526	92,532
COS - Other	68,251	70,570
General and administrative expenses	38,449	36,248
Other Segment Expenses	5,101	2,886
Total Segment adjusted EBITDA	57,014	64,815
Operating segments | Domestic Company-owned restaurants
Segment Reporting Information [Line Items]
Total revenues	170,795	176,224
COS - Product Costs	52,137	50,528
COS - Salaries & Benefits	57,976	57,471
COS - Other	44,900	43,107
General and administrative expenses	10,750	10,180
Other Segment Expenses	0	0
Total Segment adjusted EBITDA	5,032	14,938
Operating segments | North America franchising
Segment Reporting Information [Line Items]
Total revenues	36,811	36,746
COS - Product Costs	0	0
COS - Salaries & Benefits	0	0
COS - Other	0	0
General and administrative expenses	9,563	8,238
Other Segment Expenses	0	0
Total Segment adjusted EBITDA	27,248	28,508
Operating segments | North America commissaries
Segment Reporting Information [Line Items]
Total revenues	264,376	252,554
COS - Product Costs	189,469	182,124
COS - Salaries & Benefits	29,982	29,581
COS - Other	16,280	14,582
General and administrative expenses	9,292	9,091
Other Segment Expenses	0	0
Total Segment adjusted EBITDA	19,353	17,176
Operating segments | International
Segment Reporting Information [Line Items]
Total revenues	39,111	46,673
COS - Product Costs	11,146	12,494
COS - Salaries & Benefits	1,568	5,480
COS - Other	7,071	12,881
General and administrative expenses	8,844	8,739
Other Segment Expenses	5,101	2,886
Total Segment adjusted EBITDA	$ 5,381	$ 4,193