Segment Information - Disaggregation of Revenue (Details) - USD ($) $ in Thousands	3 Months Ended
	Mar. 31, 2024	Mar. 26, 2023
Disaggregation of Revenue [Line Items]
Total revenues	$ 513,916	$ 527,049
Domestic Company-owned restaurants
Disaggregation of Revenue [Line Items]
Total revenues	176,224	179,866
North America franchising
Disaggregation of Revenue [Line Items]
Total revenues	35,697	36,072
North America commissaries
Disaggregation of Revenue [Line Items]
Total revenues	203,287	212,566
International
Disaggregation of Revenue [Line Items]
Total revenues	40,708	31,463
International | International other revenue
Disaggregation of Revenue [Line Items]
Total revenues	(5,965)	(7,241)
All others
Disaggregation of Revenue [Line Items]
Total revenues	58,000	67,082
All others | International other revenue
Disaggregation of Revenue [Line Items]
Total revenues	5,965	7,241
Operating segments
Disaggregation of Revenue [Line Items]
Total revenues	513,916	527,049
Operating segments | Company-owned restaurant sales
Disaggregation of Revenue [Line Items]
Total revenues	191,251	179,866
Operating segments | Franchise royalties and fees
Disaggregation of Revenue [Line Items]
Total revenues	48,202	49,615
Operating segments | Commissary sales
Disaggregation of Revenue [Line Items]
Total revenues	266,779	283,355
Operating segments | Other revenues
Disaggregation of Revenue [Line Items]
Total revenues	71,172	83,917
Operating segments | Domestic Company-owned restaurants
Disaggregation of Revenue [Line Items]
Total revenues	176,224	179,866
Operating segments | Domestic Company-owned restaurants | Company-owned restaurant sales
Disaggregation of Revenue [Line Items]
Total revenues	176,224	179,866
Operating segments | North America franchising
Disaggregation of Revenue [Line Items]
Total revenues	35,697	36,072
Operating segments | North America franchising | Franchise royalties and fees
Disaggregation of Revenue [Line Items]
Total revenues	36,746	37,124
Operating segments | North America commissaries
Disaggregation of Revenue [Line Items]
Total revenues	203,287	212,566
Operating segments | North America commissaries | Commissary sales
Disaggregation of Revenue [Line Items]
Total revenues	252,554	264,383
Operating segments | International
Disaggregation of Revenue [Line Items]
Total revenues	46,673	38,704
Operating segments | International | Company-owned restaurant sales
Disaggregation of Revenue [Line Items]
Total revenues	15,027
Operating segments | International | Franchise royalties and fees
Disaggregation of Revenue [Line Items]
Total revenues	11,456	12,491
Operating segments | International | Commissary sales
Disaggregation of Revenue [Line Items]
Total revenues	14,225	18,972
Operating segments | International | Other revenues
Disaggregation of Revenue [Line Items]
Total revenues	5,965	7,241
Operating segments | All others
Disaggregation of Revenue [Line Items]
Total revenues	52,035	59,841
Operating segments | All others | Other revenues
Disaggregation of Revenue [Line Items]
Total revenues	65,207	76,676
Eliminations
Disaggregation of Revenue [Line Items]
Total revenues	(63,488)	(69,704)
Eliminations | North America franchising
Disaggregation of Revenue [Line Items]
Total revenues	(1,049)	(1,052)
Eliminations | North America commissaries
Disaggregation of Revenue [Line Items]
Total revenues	(49,267)	(51,817)
Eliminations | All others
Disaggregation of Revenue [Line Items]
Total revenues	$ (13,172)	$ (16,835)