Summary of Significant Accounting Policies Adoption for Topic 606 Revenue Recognition (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	Jan. 01, 2017
New Accounting Pronouncements or Change in Accounting Principle
Accrued expenses and other current liabilities	$ 165,272				$ 150,636				$ 165,272	$ 150,636
Advertising funds restricted liabilities	84,195				80,153				84,195	80,153
Total current liabilities	349,698				284,185				349,698	284,185
Deferred income taxes	270,759				269,160				270,759	269,160
Deferred franchise fees	91,790				92,232				91,790	92,232
Total liabilities	4,478,170				3,643,586				4,478,170	3,643,586
Retained earnings	185,725				146,277				185,725	146,277
Accumulated other comprehensive loss	(53,828)				(61,673)				(53,828)	(61,673)	$ (46,198)	$ (63,241)
Total stockholders' equity	516,359				648,449				516,359	648,449	573,203	$ 527,736
Total revenues	427,191	$ 437,880	$ 435,348	$ 408,583	397,820	$ 400,550	$ 411,002	$ 380,564	1,709,002	1,589,936	1,223,408
Advertising funds expense									338,116	321,866	0
Total costs and expenses									1,446,423	1,340,044	1,008,650
Operating profit	36,717	79,023	80,573	66,266	45,799	77,348	71,483	55,262	262,579	249,892	214,758
Income before income taxes									171,481	574,916	101,019
Provision for income taxes									34,541	114,801	(93,010)
Net income	$ 26,533	$ 46,127	$ 32,386	$ 31,894	18,831	$ 391,249	$ 29,876	$ 20,159	136,940	460,115	194,029
Revenue recognized during the period related to deferred franchise fees									9,487	9,641
Deferred income tax									837	(6,568)	(119,330)
Other, net									(4,838)	5,178	1,253
Advertising funds restricted assets and liabilities									(2,720)	13,955	(12,230)
Accrued expenses and other current liabilities									5,034	23,963	4,982
Adjustments for franchise fees | Accounting Standards Update 2014-09
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					63,174					63,174
Accumulated other comprehensive loss					(405)					(405)
Total stockholders' equity					62,769					62,769
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 | Accounting Standards Update 2014-09
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					2,492					2,492
Accumulated other comprehensive loss					0					0
Total stockholders' equity					2,492					2,492
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 | Accounting Standards Update 2014-09
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					211,943					211,943
Accumulated other comprehensive loss					(62,078)					(62,078)
Total stockholders' equity					$ 713,710					713,710
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
Franchise royalty revenue and fees
New Accounting Pronouncements or Change in Accounting Principle
Revenue from Contract with Customer, Excluding Assessed Tax									428,999	409,043	410,503
Franchise royalty revenue and fees | Adjustments for franchise fees | Accounting Standards Update 2014-09
New Accounting Pronouncements or Change in Accounting Principle
Revenue from Contract with Customer, Excluding Assessed Tax										(525)
Franchise royalty revenue and fees | Adjustments for advertising funds | Accounting Standards Update 2014-09
New Accounting Pronouncements or Change in Accounting Principle
Revenue from Contract with Customer, Excluding Assessed Tax										0
Franchise royalty revenue and fees | Balances without adoption | Accounting Standards Update 2014-09
New Accounting Pronouncements or Change in Accounting Principle
Revenue from Contract with Customer, Excluding Assessed Tax										408,518
Advertising funds revenue
New Accounting Pronouncements or Change in Accounting Principle
Revenue from Contract with Customer, Excluding Assessed Tax									$ 339,453	326,019	$ 0
Advertising funds revenue | Adjustments for franchise fees | Accounting Standards Update 2014-09
New Accounting Pronouncements or Change in Accounting Principle
Revenue from Contract with Customer, Excluding Assessed Tax										0
Advertising funds revenue | Adjustments for advertising funds | Accounting Standards Update 2014-09
New Accounting Pronouncements or Change in Accounting Principle
Revenue from Contract with Customer, Excluding Assessed Tax										(326,019)
Advertising funds revenue | Balances without adoption | Accounting Standards Update 2014-09
New Accounting Pronouncements or Change in Accounting Principle
Revenue from Contract with Customer, Excluding Assessed Tax										$ 0