Segment Information - Disaggregation of Revenue (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	Sep. 24, 2023	Sep. 25, 2022	Sep. 24, 2023	Sep. 25, 2022
Revenue, Major Customer [Line Items]
Total revenues	$ 522,812	$ 510,512	$ 1,564,391	$ 1,575,869
Domestic Company-owned restaurants
Revenue, Major Customer [Line Items]
Total revenues	177,195	166,050	532,841	536,226
North America franchising
Revenue, Major Customer [Line Items]
Total revenues	35,041	33,712	105,824	102,897
North America commissaries
Revenue, Major Customer [Line Items]
Total revenues	204,887	216,115	624,433	645,177
International
Revenue, Major Customer [Line Items]
Total revenues	42,927	30,735	108,998	97,310
International | International other revenue
Revenue, Major Customer [Line Items]
Total revenues	(5,554)	(6,972)	(19,541)	(22,386)
All others
Revenue, Major Customer [Line Items]
Total revenues	62,762	63,900	192,295	194,259
All others | International other revenue
Revenue, Major Customer [Line Items]
Total revenues	5,554	6,972	19,541	22,386
Operating segments
Revenue, Major Customer [Line Items]
Total revenues	522,812	510,512	1,564,391	1,575,869
Operating segments | Company-owned restaurant sales
Revenue, Major Customer [Line Items]
Total revenues	191,208	166,050	549,872	536,226
Operating segments | Franchise royalties and fees
Revenue, Major Customer [Line Items]
Total revenues	48,300	46,327	145,847	143,091
Operating segments | Commissary sales
Revenue, Major Customer [Line Items]
Total revenues	272,819	286,561	834,134	867,981
Operating segments | Other revenues
Revenue, Major Customer [Line Items]
Total revenues	78,942	79,462	241,658	245,089
Operating segments | Domestic Company-owned restaurants
Revenue, Major Customer [Line Items]
Total revenues	177,195	166,050	532,841	536,226
Operating segments | Domestic Company-owned restaurants | Company-owned restaurant sales
Revenue, Major Customer [Line Items]
Total revenues	177,195	166,050	532,841	536,226
Operating segments | North America franchising
Revenue, Major Customer [Line Items]
Total revenues	35,041	33,712	105,824	102,897
Operating segments | North America franchising | Franchise royalties and fees
Revenue, Major Customer [Line Items]
Total revenues	36,081	34,708	108,941	105,994
Operating segments | North America commissaries
Revenue, Major Customer [Line Items]
Total revenues	204,887	216,115	624,433	645,177
Operating segments | North America commissaries | Commissary sales
Revenue, Major Customer [Line Items]
Total revenues	256,124	267,445	779,073	807,768
Operating segments | International
Revenue, Major Customer [Line Items]
Total revenues	48,481	37,707	128,539	119,696
Operating segments | International | Company-owned restaurant sales
Revenue, Major Customer [Line Items]
Total revenues	14,013	0	17,031	0
Operating segments | International | Franchise royalties and fees
Revenue, Major Customer [Line Items]
Total revenues	12,219	11,619	36,906	37,097
Operating segments | International | Commissary sales
Revenue, Major Customer [Line Items]
Total revenues	16,695	19,116	55,061	60,213
Operating segments | International | Other revenues
Revenue, Major Customer [Line Items]
Total revenues	5,554	6,972	19,541	22,386
Operating segments | All others
Revenue, Major Customer [Line Items]
Total revenues	57,208	56,928	172,754	171,873
Operating segments | All others | Other revenues
Revenue, Major Customer [Line Items]
Total revenues	73,388	72,490	222,117	222,703
Eliminations
Revenue, Major Customer [Line Items]
Total revenues	(68,457)	(67,888)	(207,120)	(216,518)
Eliminations | North America franchising
Revenue, Major Customer [Line Items]
Total revenues	(1,040)	(996)	(3,117)	(3,097)
Eliminations | North America commissaries
Revenue, Major Customer [Line Items]
Total revenues	(51,237)	(51,330)	(154,640)	(162,591)
Eliminations | International
Revenue, Major Customer [Line Items]
Total revenues	0	0	0	0
Eliminations | All others
Revenue, Major Customer [Line Items]
Total revenues	$ (16,180)	$ (15,562)	$ (49,363)	$ (50,830)