Segment Information - Disaggregation of Revenue (Details) - USD ($) $ in Thousands	3 Months Ended				6 Months Ended		9 Months Ended	12 Months Ended
	Jun. 30, 2019	Dec. 30, 2018	Sep. 30, 2018	Jul. 01, 2018	Jun. 30, 2019	Jul. 01, 2018	Sep. 30, 2018	Dec. 30, 2018
Revenue, Major Customer [Line Items]
Total revenues	$ 399,623	$ 395,834	$ 385,231	$ 429,952	$ 798,028	$ 880,074	$ 1,265,305	$ 1,661,139
Domestic Company-owned restaurants
Revenue, Major Customer [Line Items]
Total revenues	163,656			181,379	325,459	371,621
North America franchising
Revenue, Major Customer [Line Items]
Total revenues	19,761			23,912	37,291	48,718
North America commissary
Revenue, Major Customer [Line Items]
Total revenues	147,128			153,455	296,032	315,168
International.
Revenue, Major Customer [Line Items]
Total revenues	25,497			29,069	51,164	59,183
International. | International other revenue
Revenue, Major Customer [Line Items]
Total revenues	(6,017)			(5,656)	(11,947)	(11,144)
International. | International eliminations
Revenue, Major Customer [Line Items]
Total revenues	94			73	191	143
All others
Revenue, Major Customer [Line Items]
Total revenues	43,581			42,137	88,082	85,384
All others | International other revenue
Revenue, Major Customer [Line Items]
Total revenues	6,017			5,656	11,947	11,144
All others | International eliminations
Revenue, Major Customer [Line Items]
Total revenues	(94)			(73)	(191)	(143)
Operating segments
Revenue, Major Customer [Line Items]
Total revenues	399,623			429,952	798,028	880,074
Operating segments | Company-owned Restaurants
Revenue, Major Customer [Line Items]
Total revenues	163,656			184,162	325,459	377,858
Operating segments | Commissary Sales
Revenue, Major Customer [Line Items]
Total revenues	210,038			222,246	420,363	457,512
Operating segments | Franchise Fees
Revenue, Major Customer [Line Items]
Total revenues	30,097			33,915	58,101	68,721
Operating segments | Other Sales
Revenue, Major Customer [Line Items]
Total revenues	61,660			58,010	121,669	118,004
Operating segments | Domestic Company-owned restaurants
Revenue, Major Customer [Line Items]
Total revenues	163,656			181,379	325,459	371,621
Operating segments | Domestic Company-owned restaurants | Company-owned Restaurants
Revenue, Major Customer [Line Items]
Total revenues	163,656			181,379	325,459	371,621
Operating segments | North America franchising
Revenue, Major Customer [Line Items]
Total revenues	19,761			23,912	37,291	48,718
Operating segments | North America franchising | Franchise Fees
Revenue, Major Customer [Line Items]
Total revenues	20,548			24,928	38,751	50,753
Operating segments | North America commissary
Revenue, Major Customer [Line Items]
Total revenues	147,128			153,455	296,032	315,168
Operating segments | North America commissary | Commissary Sales
Revenue, Major Customer [Line Items]
Total revenues	194,090			204,947	388,549	422,534
Operating segments | International.
Revenue, Major Customer [Line Items]
Total revenues	31,420			34,652	62,920	70,184
Other revenue from marketing fund contributions and sublease rental income	5,900			5,600	11,800	11,000
Operating segments | International. | Company-owned Restaurants
Revenue, Major Customer [Line Items]
Total revenues				2,783		6,237
Operating segments | International. | Commissary Sales
Revenue, Major Customer [Line Items]
Total revenues	15,948			17,299	31,814	34,978
Operating segments | International. | Franchise Fees
Revenue, Major Customer [Line Items]
Total revenues	9,549			8,987	19,350	17,968
Operating segments | International. | Other Sales
Revenue, Major Customer [Line Items]
Total revenues	6,017			5,656	11,947	11,144
Operating segments | All others
Revenue, Major Customer [Line Items]
Total revenues	37,658			36,554	76,326	74,383
Operating segments | All others | Other Sales
Revenue, Major Customer [Line Items]
Total revenues	55,643			52,354	109,722	106,860
Elimination
Revenue, Major Customer [Line Items]
Total revenues	(65,828)			(68,381)	(127,564)	(142,021)
Elimination | North America franchising
Revenue, Major Customer [Line Items]
Total revenues	(787)			(1,016)	(1,460)	(2,035)
Elimination | North America commissary
Revenue, Major Customer [Line Items]
Total revenues	(46,962)			(51,492)	(92,517)	(107,366)
Elimination | International.
Revenue, Major Customer [Line Items]
Total revenues	(94)			(73)	(191)	(143)
Elimination | All others
Revenue, Major Customer [Line Items]
Total revenues	$ (17,985)			$ (15,800)	$ (33,396)	$ (32,477)