Segment Information - Schedule of Segment Reporting Information, by Segment (Details)	3 Months Ended		6 Months Ended
	Jul. 01, 2018 USD ($)	Jun. 25, 2017 USD ($)	Jul. 01, 2018 USD ($) entity	Jun. 25, 2017 USD ($)	Jan. 02, 2018 USD ($)	Dec. 31, 2017 USD ($)
Segment Information
Reportable segments, number | entity			5
Revenues	$ 407,959,000	$ 434,778,000	$ 835,328,000	$ 884,044,000
Income (loss) before income taxes	19,705,000	35,458,000	42,067,000	77,329,000
Accumulated depreciation and amortization	(418,205,000)		(418,205,000)
Net property and equipment	227,722,000		227,722,000		$ 234,331,000	$ 234,331,000
Domestic Company-owned restaurants
Segment Information
Revenues	181,379,000	202,756,000	371,621,000	409,652,000
North America commissary
Segment Information
Revenues	153,455,000	160,059,000	315,168,000	331,399,000
North America franchising
Segment Information
Revenues	23,912,000	26,588,000	48,718,000	54,195,000
International
Segment Information
Revenues	29,069,000	27,245,000	59,183,000	52,867,000
Other segment
Segment Information
Revenues	20,144,000	18,130,000	40,638,000	35,931,000
Operating segments
Segment Information
Revenues	407,959,000	434,778,000	835,328,000	884,044,000
Operating segments | Domestic Company-owned restaurants
Segment Information
Revenues	181,379,000	202,756,000	371,621,000	409,652,000
Income (loss) before income taxes	8,304,000	15,550,000	15,533,000	31,037,000
Property and equipment, gross	229,887,000		229,887,000
Operating segments | North America commissary
Segment Information
Revenues	153,455,000	160,059,000	315,168,000	331,399,000
Income (loss) before income taxes	8,730,000	12,088,000	17,340,000	24,332,000
Property and equipment, gross	138,452,000		138,452,000
Transfer of expenses between unallocated corporate and segments	1,900,000		4,200,000
Operating segments | North America franchising
Segment Information
Revenues	23,912,000	26,588,000	48,718,000	54,195,000
Income (loss) before income taxes	21,380,000	23,999,000	43,739,000	48,874,000
Operating segments | International
Segment Information
Revenues	34,652,000	30,230,000	70,184,000	58,748,000
Income (loss) before income taxes	2,278,000	3,265,000	5,815,000	7,609,000
Property and equipment, gross	17,064,000		17,064,000
Operating segments | Other segment
Segment Information
Revenues	14,561,000	15,145,000	29,637,000	30,050,000
Income (loss) before income taxes	(1,728,000)	905,000	(2,638,000)	1,365,000
Property and equipment, gross	65,245,000		65,245,000
Transfer of expenses between unallocated corporate and segments	900,000		1,800,000
Elimination
Segment Information
Revenues	(60,159,000)	(64,105,000)	(125,196,000)	(131,694,000)
Income (loss) before income taxes	65,000	(1,263,000)	(268,000)	(421,000)
Elimination | North America commissary
Segment Information
Revenues	(51,492,000)	(59,202,000)	(107,366,000)	(120,938,000)
Elimination | North America franchising
Segment Information
Revenues	(1,016,000)	(751,000)	(2,035,000)	(1,515,000)
Elimination | International
Segment Information
Revenues	(73,000)	(68,000)	(143,000)	(131,000)
Elimination | Other segment
Segment Information
Revenues	(7,578,000)	(4,084,000)	(15,652,000)	(9,110,000)
Unallocated corporate
Segment Information
Income (loss) before income taxes	(19,324,000)	$ (19,086,000)	(37,454,000)	$ (35,467,000)
Property and equipment, gross	195,279,000		195,279,000
Transfer of expenses between unallocated corporate and segments	$ (3,400,000)		$ (7,200,000)