Segment Information - Disaggregation of Revenue (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	Sep. 29, 2024	Sep. 24, 2023	Sep. 29, 2024	Sep. 24, 2023
Disaggregation of Revenue [Line Items]
Total revenues	$ 506,807	$ 522,812	$ 1,528,617	$ 1,564,391
Domestic Company-owned restaurants
Disaggregation of Revenue [Line Items]
Total revenues	168,672	177,195	518,103	532,841
North America franchising
Disaggregation of Revenue [Line Items]
Total revenues	33,831	35,041	103,937	105,824
North America commissaries
Disaggregation of Revenue [Line Items]
Total revenues	210,389	204,887	611,873	624,433
International
Disaggregation of Revenue [Line Items]
Total revenues	33,024	42,927	113,433	108,998
International | International other revenue
Disaggregation of Revenue [Line Items]
Total revenues	(6,074)	(5,554)	(18,885)	(19,541)
All others
Disaggregation of Revenue [Line Items]
Total revenues	60,891	62,762	181,271	192,295
All others | International other revenue
Disaggregation of Revenue [Line Items]
Total revenues	6,074	5,554	18,885	19,541
Operating segments
Disaggregation of Revenue [Line Items]
Total revenues	506,807	522,812	1,528,617	1,564,391
Operating segments | Company-owned restaurant sales
Disaggregation of Revenue [Line Items]
Total revenues	171,097	191,208	546,988	549,872
Operating segments | Franchise royalties and fees
Disaggregation of Revenue [Line Items]
Total revenues	46,841	48,300	142,636	145,847
Operating segments | Commissary sales
Disaggregation of Revenue [Line Items]
Total revenues	281,052	272,819	812,456	834,134
Operating segments | Other revenues
Disaggregation of Revenue [Line Items]
Total revenues	74,363	78,942	221,693	241,658
Operating segments | Domestic Company-owned restaurants
Disaggregation of Revenue [Line Items]
Total revenues	168,672	177,195	518,103	532,841
Operating segments | Domestic Company-owned restaurants | Company-owned restaurant sales
Disaggregation of Revenue [Line Items]
Total revenues	168,672	177,195	518,103	532,841
Operating segments | North America franchising
Disaggregation of Revenue [Line Items]
Total revenues	33,831	35,041	103,937	105,824
Operating segments | North America franchising | Franchise royalties and fees
Disaggregation of Revenue [Line Items]
Total revenues	34,842	36,081	107,038	108,941
Operating segments | North America commissaries
Disaggregation of Revenue [Line Items]
Total revenues	210,389	204,887	611,873	624,433
Operating segments | North America commissaries | Commissary sales
Disaggregation of Revenue [Line Items]
Total revenues	262,452	256,124	763,506	779,073
Operating segments | International
Disaggregation of Revenue [Line Items]
Total revenues	39,098	48,481	132,318	128,539
Operating segments | International | Company-owned restaurant sales
Disaggregation of Revenue [Line Items]
Total revenues	2,425	14,013	28,885	17,031
Operating segments | International | Franchise royalties and fees
Disaggregation of Revenue [Line Items]
Total revenues	11,999	12,219	35,598	36,906
Operating segments | International | Commissary sales
Disaggregation of Revenue [Line Items]
Total revenues	18,600	16,695	48,950	55,061
Operating segments | International | Other revenues
Disaggregation of Revenue [Line Items]
Total revenues	6,074	5,554	18,885	19,541
Operating segments | All others
Disaggregation of Revenue [Line Items]
Total revenues	54,817	57,208	162,386	172,754
Operating segments | All others | Other revenues
Disaggregation of Revenue [Line Items]
Total revenues	68,289	73,388	202,808	222,117
Eliminations
Disaggregation of Revenue [Line Items]
Total revenues	(66,546)	(68,457)	(195,156)	(207,120)
Eliminations | North America franchising
Disaggregation of Revenue [Line Items]
Total revenues	(1,011)	(1,040)	(3,101)	(3,117)
Eliminations | North America commissaries
Disaggregation of Revenue [Line Items]
Total revenues	(52,063)	(51,237)	(151,633)	(154,640)
Eliminations | International
Disaggregation of Revenue [Line Items]
Total revenues	0	0	0	0
Eliminations | All others
Disaggregation of Revenue [Line Items]
Total revenues	$ (13,472)	$ (16,180)	$ (40,422)	$ (49,363)