Segment Information - Disaggregation of Revenue (Details) - USD ($) $ in Thousands	3 Months Ended								12 Months Ended
	Dec. 27, 2020	Sep. 27, 2020	Jun. 28, 2020	Mar. 29, 2020	Dec. 29, 2019	Sep. 29, 2019	Jun. 30, 2019	Mar. 31, 2019	Dec. 27, 2020	Dec. 29, 2019	Dec. 30, 2018
Revenue disaggregation
Total revenues	$ 469,811	$ 472,941	$ 460,623	$ 409,859	$ 417,514	$ 403,706	$ 399,623	$ 398,405	$ 1,813,234	$ 1,619,248	$ 1,662,871
Domestic Company-owned restaurants
Revenue disaggregation
Total revenues									700,757	652,053	692,380
North America franchising
Revenue disaggregation
Total revenues									96,732	71,828	79,293
North America commissaries
Revenue disaggregation
Total revenues									680,793	612,652	609,866
International.
Revenue disaggregation
Total revenues									123,963	102,924	110,349
International. | International other revenue
Revenue disaggregation
Total revenues									(26,976)	(23,344)	(21,202)
International. | International eliminations
Revenue disaggregation
Total revenues										191	283
All others
Revenue disaggregation
Total revenues									210,989	179,791	170,983
All others | International other revenue
Revenue disaggregation
Total revenues									26,976	23,344	21,202
All others | International eliminations
Revenue disaggregation
Total revenues										(191)	(283)
Operating segments
Revenue disaggregation
Total revenues									1,813,234	1,619,248	1,662,871
Operating segments | Company-owned Restaurants
Revenue disaggregation
Total revenues									700,757	652,053	698,617
Operating segments | Franchise royalties and fees
Revenue disaggregation
Total revenues									139,881	113,355	118,246
Operating segments | Commissary Sales
Revenue disaggregation
Total revenues									957,168	863,904	879,315
Operating segments | Other Sales
Revenue disaggregation
Total revenues									294,624	268,268	243,332
Operating segments | Domestic Company-owned restaurants
Revenue disaggregation
Total revenues									700,757	652,053	692,380
Operating segments | Domestic Company-owned restaurants | Company-owned Restaurants
Revenue disaggregation
Total revenues									700,757	652,053	692,380
Operating segments | North America franchising
Revenue disaggregation
Total revenues									96,732	71,828	79,293
Operating segments | North America franchising | Franchise royalties and fees
Revenue disaggregation
Total revenues									99,961	74,610	82,258
Operating segments | North America commissaries
Revenue disaggregation
Total revenues									680,793	612,652	609,866
Operating segments | North America commissaries | Commissary Sales
Revenue disaggregation
Total revenues									873,125	799,725	811,191
Operating segments | International.
Revenue disaggregation
Total revenues									150,939	126,077	131,268
Other revenue from marketing fund contributions and sublease rental income									27,000	23,200	20,900
Operating segments | International. | Company-owned Restaurants
Revenue disaggregation
Total revenues											6,237
Operating segments | International. | Franchise royalties and fees
Revenue disaggregation
Total revenues									39,920	38,745	35,988
Operating segments | International. | Commissary Sales
Revenue disaggregation
Total revenues									84,043	64,179	68,124
Operating segments | International. | Other Sales
Revenue disaggregation
Total revenues									26,976	23,344	21,202
Operating segments | All others
Revenue disaggregation
Total revenues									184,013	156,638	150,064
Operating segments | All others | Other Sales
Revenue disaggregation
Total revenues									267,648	244,924	222,130
Elimination
Revenue disaggregation
Total revenues									(279,196)	(278,332)	(276,639)
Elimination | North America franchising
Revenue disaggregation
Total revenues									(3,229)	(2,782)	(2,965)
Elimination | North America commissaries
Revenue disaggregation
Total revenues									(192,332)	(187,073)	(201,325)
Elimination | International.
Revenue disaggregation
Total revenues										(191)	(283)
Elimination | All others
Revenue disaggregation
Total revenues									$ (83,635)	$ (88,286)	$ (72,066)