Segment Information - Disaggregation of Revenue (Details) - USD ($) $ in Thousands	3 Months Ended		6 Months Ended
	Jun. 28, 2020	Jun. 30, 2019	Jun. 28, 2020	Jun. 30, 2019
Revenue disaggregation
Total revenues	$ 460,623	$ 399,623	$ 870,482	$ 798,028
Domestic Company-owned restaurants
Revenue disaggregation
Total revenues	186,506	163,656	347,946	325,459
North America franchising
Revenue disaggregation
Total revenues	24,174	19,761	43,614	37,291
North America commissary
Revenue disaggregation
Total revenues	167,619	147,128	323,041	296,032
International.
Revenue disaggregation
Total revenues	28,093	25,497	54,152	51,164
International. | International other revenue
Revenue disaggregation
Total revenues	(6,273)	(6,017)	(12,366)	(11,947)
International. | International eliminations
Revenue disaggregation
Total revenues		94		191
All others
Revenue disaggregation
Total revenues	54,231	43,581	101,729	88,082
All others | International other revenue
Revenue disaggregation
Total revenues	6,273	6,017	12,366	11,947
All others | International eliminations
Revenue disaggregation
Total revenues		(94)		(191)
Operating segments
Revenue disaggregation
Total revenues	460,623	399,623	870,482	798,028
Operating segments | Company-owned Restaurants
Revenue disaggregation
Total revenues	186,506	163,656	347,946	325,459
Operating segments | Commissary Sales
Revenue disaggregation
Total revenues	235,326	210,038	451,797	420,363
Operating segments | Franchise royalties and fees
Revenue disaggregation
Total revenues	32,710	30,097	62,340	58,101
Operating segments | Other Sales
Revenue disaggregation
Total revenues	72,617	61,660	141,070	121,669
Operating segments | Domestic Company-owned restaurants
Revenue disaggregation
Total revenues	186,506	163,656	347,946	325,459
Operating segments | Domestic Company-owned restaurants | Company-owned Restaurants
Revenue disaggregation
Total revenues	186,506	163,656	347,946	325,459
Operating segments | North America franchising
Revenue disaggregation
Total revenues	24,174	19,761	43,614	37,291
Operating segments | North America franchising | Franchise royalties and fees
Revenue disaggregation
Total revenues	24,967	20,548	45,081	38,751
Operating segments | North America commissary
Revenue disaggregation
Total revenues	167,619	147,128	323,041	296,032
Operating segments | North America commissary | Commissary Sales
Revenue disaggregation
Total revenues	214,976	194,090	414,904	388,549
Operating segments | International.
Revenue disaggregation
Total revenues	34,366	31,420	66,518	62,920
Other revenue from marketing fund contributions and sublease rental income	6,300	5,900	12,400	11,800
Operating segments | International. | Commissary Sales
Revenue disaggregation
Total revenues	20,350	15,948	36,893	31,814
Operating segments | International. | Franchise royalties and fees
Revenue disaggregation
Total revenues	7,743	9,549	17,259	19,350
Operating segments | International. | Other Sales
Revenue disaggregation
Total revenues	6,273	6,017	12,366	11,947
Operating segments | All others
Revenue disaggregation
Total revenues	47,958	37,658	89,363	76,326
Operating segments | All others | Other Sales
Revenue disaggregation
Total revenues	66,344	55,643	128,704	109,722
Elimination
Revenue disaggregation
Total revenues	(66,536)	(65,828)	(132,671)	(127,564)
Elimination | North America franchising
Revenue disaggregation
Total revenues	(793)	(787)	(1,467)	(1,460)
Elimination | North America commissary
Revenue disaggregation
Total revenues	(47,357)	(46,962)	(91,863)	(92,517)
Elimination | International.
Revenue disaggregation
Total revenues		(94)		(191)
Elimination | All others
Revenue disaggregation
Total revenues	$ (18,386)	$ (17,985)	$ (39,341)	$ (33,396)