Summary of Significant Accounting Policies Adoption for Topic 606 Revenue Recognition (Details) - USD ($) $ in Thousands	3 Months Ended								12 Months Ended
	Dec. 30, 2018	Sep. 30, 2018	Jul. 01, 2018	Apr. 01, 2018	Dec. 31, 2017	Oct. 01, 2017	Jul. 02, 2017	Apr. 02, 2017	Dec. 30, 2018	Dec. 31, 2017	Jan. 01, 2017	Jan. 03, 2016
New Accounting Pronouncements or Change in Accounting Principle
Accrued expenses and other current liabilities	$ 150,636				$ 111,624				$ 150,636	$ 111,624
Advertising funds restricted liabilities	80,153				62,602				80,153	62,602
Total current liabilities	284,185				227,162				284,185	227,162
Deferred income taxes	269,160				299,053				269,160	299,053
Deferred franchise fees	92,232				10,881				92,232	10,881
Total liabilities	3,643,586				3,523,735				3,643,586	3,523,735
Retained earnings (accumulated deficit)	146,277				(163,289)				146,277	(163,289)
Accumulated other comprehensive loss	(61,673)				(46,198)				(61,673)	(46,198)	$ (63,241)	$ (70,823)
Total stockholders' equity	648,449				573,203				648,449	573,203	527,736	$ 752,914
Franchise royalty revenue and fees									409,043	410,503	371,545
Advertising funds revenue									326,019	0	0
Total revenues	397,820	$ 400,550	$ 411,002	$ 380,564	309,247	$ 308,000	$ 320,342	$ 285,819	1,589,936	1,223,408	1,435,418
Advertising funds expense									321,866	0	0
Total costs and expenses									1,340,044	1,008,650	1,120,638
Operating profit	45,799	77,348	71,483	55,262	66,587	61,657	25,794	60,720	249,892	214,758	314,780
Income before income taxes									574,916	101,019	201,690
Provision for income taxes					(121,649)				114,801	(93,010)	72,066
Net income	18,831	$ 391,249	$ 29,876	$ 20,159	$ 159,276	$ 14,257	$ (1,845)	$ 22,341	460,115	194,029	129,624
Revenue recognized during the period related to deferred franchise fees									9,641
Deferred income tax									(6,568)	(119,330)	(14,213)
Other, net									5,178	1,253	3,719
Advertising funds restricted assets and liabilities									13,955	(12,230)	5,572
Accrued expenses and other current liabilities									23,963	$ 4,982	$ 18,697
Adjustments for franchise fees | Revenue recognition guidance
New Accounting Pronouncements or Change in Accounting Principle
Accrued expenses and other current liabilities	(3,079)								(3,079)
Advertising funds restricted liabilities	0								0
Total current liabilities	(3,079)								(3,079)
Deferred income taxes	21,861								21,861
Deferred franchise fees	(81,551)								(81,551)
Total liabilities	(62,769)								(62,769)
Retained earnings (accumulated deficit)	63,174								63,174
Accumulated other comprehensive loss	(405)								(405)
Total stockholders' equity	62,769								62,769
Franchise royalty revenue and fees									(525)
Advertising funds revenue									0
Total revenues									(525)
Advertising funds expense									0
Total costs and expenses									0
Operating profit									(525)
Income before income taxes									(525)
Provision for income taxes									(134)
Net income									(391)
Deferred income tax									(134)
Other, net									(502)
Advertising funds restricted assets and liabilities									0
Accrued expenses and other current liabilities									1,027
Adjustments for advertising funds | Revenue recognition guidance
New Accounting Pronouncements or Change in Accounting Principle
Accrued expenses and other current liabilities	0								0
Advertising funds restricted liabilities	(2,492)								(2,492)
Total current liabilities	(2,492)								(2,492)
Deferred income taxes	0								0
Deferred franchise fees	0								0
Total liabilities	(2,492)								(2,492)
Retained earnings (accumulated deficit)	2,492								2,492
Accumulated other comprehensive loss	0								0
Total stockholders' equity	2,492								2,492
Franchise royalty revenue and fees									0
Advertising funds revenue									(326,019)
Total revenues									(326,019)
Advertising funds expense									(321,866)
Total costs and expenses									(321,866)
Operating profit									(4,153)
Income before income taxes									(4,153)
Provision for income taxes									0
Net income									(4,153)
Deferred income tax									0
Other, net									0
Advertising funds restricted assets and liabilities									4,153
Accrued expenses and other current liabilities									0
Balances without adoption | Revenue recognition guidance
New Accounting Pronouncements or Change in Accounting Principle
Accrued expenses and other current liabilities	147,557								147,557
Advertising funds restricted liabilities	77,661								77,661
Total current liabilities	278,614								278,614
Deferred income taxes	291,021								291,021
Deferred franchise fees	10,681								10,681
Total liabilities	3,578,325								3,578,325
Retained earnings (accumulated deficit)	211,943								211,943
Accumulated other comprehensive loss	(62,078)								(62,078)
Total stockholders' equity	$ 713,710								713,710
Franchise royalty revenue and fees									408,518
Advertising funds revenue									0
Total revenues									1,263,392
Advertising funds expense									0
Total costs and expenses									1,018,178
Operating profit									245,214
Income before income taxes									570,238
Provision for income taxes									114,667
Net income									455,571
Revenue recognized during the period related to deferred franchise fees									9,116
Deferred income tax									(6,702)
Other, net									4,676
Advertising funds restricted assets and liabilities									18,108
Accrued expenses and other current liabilities									$ 24,990