Segment Information - Disaggregation of Revenue (Details) - USD ($) $ in Thousands	3 Months Ended								12 Months Ended
	Dec. 29, 2019	Sep. 29, 2019	Jun. 30, 2019	Mar. 31, 2019	Dec. 30, 2018	Sep. 30, 2018	Jul. 01, 2018	Apr. 01, 2018	Dec. 29, 2019	Dec. 30, 2018	Dec. 31, 2017
Revenue disaggregation
Total revenues	$ 417,514	$ 403,706	$ 399,623	$ 398,405	$ 397,566	$ 385,231	$ 429,952	$ 450,122	$ 1,619,248	$ 1,662,871	$ 1,783,359
Domestic Company-owned restaurants
Revenue disaggregation
Total revenues									652,053	692,380	816,718
North America franchising
Revenue disaggregation
Total revenues									71,828	79,293	106,729
North America commissary
Revenue disaggregation
Total revenues									612,652	609,866	673,712
International.
Revenue disaggregation
Total revenues									102,924	110,349
International. | International other revenue
Revenue disaggregation
Total revenues									(23,344)	(21,202)
International. | International eliminations
Revenue disaggregation
Total revenues									191	283
All others
Revenue disaggregation
Total revenues									179,791	170,983
All others | International other revenue
Revenue disaggregation
Total revenues									23,344	21,202
All others | International eliminations
Revenue disaggregation
Total revenues									(191)	(283)
Operating segments
Revenue disaggregation
Total revenues									1,619,248	1,662,871
Operating segments | Company-owned Restaurants
Revenue disaggregation
Total revenues									652,053	698,617
Operating segments | Commissary Sales
Revenue disaggregation
Total revenues									863,904	879,315
Operating segments | Franchise Fees
Revenue disaggregation
Total revenues									113,355	118,246
Operating segments | Other Sales
Revenue disaggregation
Total revenues									268,268	243,332
Operating segments | Domestic Company-owned restaurants
Revenue disaggregation
Total revenues									652,053	692,380	816,718
Operating segments | Domestic Company-owned restaurants | Company-owned Restaurants
Revenue disaggregation
Total revenues									652,053	692,380
Operating segments | North America franchising
Revenue disaggregation
Total revenues									71,828	79,293	106,729
Operating segments | North America franchising | Franchise Fees
Revenue disaggregation
Total revenues									74,610	82,258
Operating segments | North America commissary
Revenue disaggregation
Total revenues									612,652	609,866
Operating segments | North America commissary | Commissary Sales
Revenue disaggregation
Total revenues									799,725	811,191
Operating segments | International.
Revenue disaggregation
Total revenues									126,077	131,268
Other revenue from marketing fund contributions and sublease rental income									23,200	20,900
Operating segments | International. | Company-owned Restaurants
Revenue disaggregation
Total revenues										6,237
Operating segments | International. | Commissary Sales
Revenue disaggregation
Total revenues									64,179	68,124
Operating segments | International. | Franchise Fees
Revenue disaggregation
Total revenues									38,745	35,988
Operating segments | International. | Other Sales
Revenue disaggregation
Total revenues									23,344	21,202
Operating segments | All others
Revenue disaggregation
Total revenues									156,638	150,064	59,915
Operating segments | All others | Other Sales
Revenue disaggregation
Total revenues									244,924	222,130
Elimination
Revenue disaggregation
Total revenues									(278,332)	(276,639)	(265,029)
Elimination | North America franchising
Revenue disaggregation
Total revenues									(2,782)	(2,965)	(3,342)
Elimination | North America commissary
Revenue disaggregation
Total revenues									(187,073)	(201,325)
Elimination | International.
Revenue disaggregation
Total revenues									(191)	(283)
Elimination | All others
Revenue disaggregation
Total revenues									$ (88,286)	$ (72,066)	$ (16,715)