Segment Information - Disaggregation of Revenue (Details) - USD ($) $ in Thousands	3 Months Ended
	Mar. 29, 2020	Mar. 31, 2019
Revenue disaggregation
Total revenues	$ 409,859	$ 398,405
Domestic Company-owned restaurants
Revenue disaggregation
Total revenues	161,440	161,803
North America franchising
Revenue disaggregation
Total revenues	19,440	17,530
North America commissary
Revenue disaggregation
Total revenues	155,422	148,904
International.
Revenue disaggregation
Total revenues	26,059	25,667
International. | International other revenue
Revenue disaggregation
Total revenues	(6,093)	(5,930)
International. | International eliminations
Revenue disaggregation
Total revenues		97
All others
Revenue disaggregation
Total revenues	47,498	44,501
All others | International other revenue
Revenue disaggregation
Total revenues	6,093	5,930
All others | International eliminations
Revenue disaggregation
Total revenues		(97)
Operating segments
Revenue disaggregation
Total revenues	409,859	398,405
Operating segments | Company-owned Restaurants
Revenue disaggregation
Total revenues	161,440	161,803
Operating segments | Commissary Sales
Revenue disaggregation
Total revenues	216,471	210,325
Operating segments | Franchise royalties and fees
Revenue disaggregation
Total revenues	29,630	28,004
Operating segments | Other Sales
Revenue disaggregation
Total revenues	68,453	60,009
Operating segments | Domestic Company-owned restaurants
Revenue disaggregation
Total revenues	161,440	161,803
Operating segments | Domestic Company-owned restaurants | Company-owned Restaurants
Revenue disaggregation
Total revenues	161,440	161,803
Operating segments | North America franchising
Revenue disaggregation
Total revenues	19,440	17,530
Operating segments | North America franchising | Franchise royalties and fees
Revenue disaggregation
Total revenues	20,114	18,203
Operating segments | North America commissary
Revenue disaggregation
Total revenues	155,422	148,904
Operating segments | North America commissary | Commissary Sales
Revenue disaggregation
Total revenues	199,928	194,459
Operating segments | International.
Revenue disaggregation
Total revenues	32,152	31,500
Other revenue from marketing fund contributions and sublease rental income	6,100	5,800
Operating segments | International. | Commissary Sales
Revenue disaggregation
Total revenues	16,543	15,866
Operating segments | International. | Franchise royalties and fees
Revenue disaggregation
Total revenues	9,516	9,801
Operating segments | International. | Other Sales
Revenue disaggregation
Total revenues	6,093	5,930
Operating segments | All others
Revenue disaggregation
Total revenues	41,405	38,668
Operating segments | All others | Other Sales
Revenue disaggregation
Total revenues	62,360	54,079
Elimination
Revenue disaggregation
Total revenues	(66,135)	(61,736)
Elimination | North America franchising
Revenue disaggregation
Total revenues	(674)	(673)
Elimination | North America commissary
Revenue disaggregation
Total revenues	(44,506)	(45,555)
Elimination | International.
Revenue disaggregation
Total revenues		(97)
Elimination | All others
Revenue disaggregation
Total revenues	$ (20,955)	$ (15,411)