Segment Information - Schedule of Segment Reporting Information, by Segment (Details) - USD ($) $ in Thousands	3 Months Ended			9 Months Ended		12 Months Ended
	Sep. 29, 2019	Dec. 30, 2018	Sep. 30, 2018	Sep. 29, 2019	Sep. 30, 2018	Dec. 30, 2018
Segment Information
Total revenues	$ 403,706	$ 395,834	$ 385,231	$ 1,201,734	$ 1,265,305	$ 1,661,139
Income (loss) before income taxes	678	(15,252)	(20,228)	9,870	21,949	6,697
Accumulated depreciation and amortization	(455,103)			(455,103)
Property and equipment, net	212,313	226,894		212,313		226,894
Domestic Company-owned restaurants
Segment Information
Total revenues	165,135		158,285	490,594	529,906
Refranchising gain (loss), net	1,700			1,900
North America commissary
Segment Information
Total revenues	154,703		146,240	450,735	461,408
North America franchising
Segment Information
Total revenues	15,924		12,806	53,215	61,524
Special charges	6,400		9,900	14,000	9,900
International
Segment Information
Total revenues	24,679		25,653	75,843	84,836
Refranchising gain (loss), net					1,900
Other segment
Segment Information
Total revenues	43,265	$ 41,620	42,247	131,347	127,631	$ 169,251
Operating segments
Segment Information
Total revenues	403,706		385,231	1,201,734	1,265,305
Operating segments | Domestic Company-owned restaurants
Segment Information
Total revenues	165,135		158,285	490,594	529,906
Income (loss) before income taxes	9,162		(183)	21,471	15,350
Property and equipment, gross	221,320			221,320
Operating segments | North America commissary
Segment Information
Total revenues	154,703		146,240	450,735	461,408
Income (loss) before income taxes	6,790		6,195	22,094	23,535
Property and equipment, gross	141,105			141,105
Operating segments | North America franchising
Segment Information
Total revenues	15,924		12,806	53,215	61,524
Income (loss) before income taxes	14,092		9,394	47,693	53,133
Operating segments | International
Segment Information
Total revenues	29,888		30,793	92,808	100,977
Income (loss) before income taxes	4,195		4,519	14,915	10,334
Property and equipment, gross	15,737			15,737
Operating segments | Other segment
Segment Information
Total revenues	38,056		37,107	114,382	111,490
Income (loss) before income taxes	(866)		(2,776)	(2,581)	(5,304)
Property and equipment, gross	80,980			80,980
Elimination
Segment Information
Total revenues	(67,573)		(60,679)	(195,137)	(202,700)
Income (loss) before income taxes	(366)		(331)	(1,037)	(599)
Elimination | North America commissary
Segment Information
Total revenues	(47,599)		(46,023)	(140,116)	(153,389)
Elimination | North America franchising
Segment Information
Total revenues	(612)		(464)	(2,072)	(2,499)
Elimination | International
Segment Information
Total revenues			(70)	(191)	(213)
Elimination | Other segment
Segment Information
Total revenues	(19,362)		(14,122)	(52,758)	(46,599)
Unallocated corporate
Segment Information
Income (loss) before income taxes	(32,329)		(37,046)	(92,685)	(74,500)
Property and equipment, gross	208,274			208,274
Special charges	$ 7,800		$ 14,900	$ 21,400	$ 14,900