Segment Information - Disaggregation of Revenue (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	Sep. 27, 2020	Sep. 29, 2019	Sep. 27, 2020	Sep. 29, 2019
Revenue disaggregation
Total revenues	$ 472,941	$ 403,706	$ 1,343,423	$ 1,201,734
Domestic Company-owned restaurants
Revenue disaggregation
Total revenues	178,371	165,135	526,317	490,594
North America franchising
Revenue disaggregation
Total revenues	25,281	15,924	68,895	53,215
North America commissary
Revenue disaggregation
Total revenues	181,338	154,703	504,379	450,735
International.
Revenue disaggregation
Total revenues	33,440	24,679	87,592	75,843
International. \| International other revenue
Revenue disaggregation
Total revenues	(6,888)	(5,209)	(19,254)	(17,156)
International. \| International eliminations
Revenue disaggregation
Total revenues				191
All others
Revenue disaggregation
Total revenues	54,511	43,265	156,240	131,347
All others \| International other revenue
Revenue disaggregation
Total revenues	6,888	5,209	19,254	17,156
All others \| International eliminations
Revenue disaggregation
Total revenues				(191)
Operating segments
Revenue disaggregation
Total revenues	472,941	403,706	1,343,423	1,201,734
Operating segments \| Company-owned Restaurants
Revenue disaggregation
Total revenues	178,371	165,135	526,317	490,594
Operating segments \| Commissary Sales
Revenue disaggregation
Total revenues	254,381	217,497	706,178	637,860
Operating segments \| Franchise royalties and fees
Revenue disaggregation
Total revenues	36,808	26,020	99,148	84,121
Operating segments \| Other Sales
Revenue disaggregation
Total revenues	81,679	62,627	222,749	184,296
Operating segments \| Domestic Company-owned restaurants
Revenue disaggregation
Total revenues	178,371	165,135	526,317	490,594
Operating segments \| Domestic Company-owned restaurants \| Company-owned Restaurants
Revenue disaggregation
Total revenues	178,371	165,135	526,317	490,594
Operating segments \| North America franchising
Revenue disaggregation
Total revenues	25,281	15,924	68,895	53,215
Operating segments \| North America franchising \| Franchise royalties and fees
Revenue disaggregation
Total revenues	26,105	16,536	71,186	55,287
Operating segments \| North America commissary
Revenue disaggregation
Total revenues	181,338	154,703	504,379	450,735
Operating segments \| North America commissary \| Commissary Sales
Revenue disaggregation
Total revenues	231,644	202,302	646,548	590,851
Operating segments \| International.
Revenue disaggregation
Total revenues	40,328	29,888	106,846	92,808
Other revenue from marketing fund contributions and sublease rental income	6,900	5,200	19,300	17,000
Operating segments \| International. \| Commissary Sales
Revenue disaggregation
Total revenues	22,737	15,195	59,630	47,009
Operating segments \| International. \| Franchise royalties and fees
Revenue disaggregation
Total revenues	10,703	9,484	27,962	28,834
Operating segments \| International. \| Other Sales
Revenue disaggregation
Total revenues	6,888	5,209	19,254	17,156
Operating segments \| All others
Revenue disaggregation
Total revenues	47,623	38,056	136,986	114,382
Operating segments \| All others \| Other Sales
Revenue disaggregation
Total revenues	74,791	57,418	203,495	167,140
Elimination
Revenue disaggregation
Total revenues	(78,298)	(67,573)	(210,969)	(195,137)
Elimination \| North America franchising
Revenue disaggregation
Total revenues	(824)	(612)	(2,291)	(2,072)
Elimination \| North America commissary
Revenue disaggregation
Total revenues	(50,306)	(47,599)	(142,169)	(140,116)
Elimination \| International.
Revenue disaggregation
Total revenues				(191)
Elimination \| All others
Revenue disaggregation
Total revenues	$ (27,168)	$ (19,362)	$ (66,509)	$ (52,758)