Acquisition Table of Acquisitions (Details) $ in Thousands						3 Months Ended	12 Months Ended
	Jun. 23, 2021 restaurant	Jun. 17, 2021 restaurant	Aug. 20, 2019 USD ($) restaurant	Jun. 11, 2019 USD ($) restaurant	Apr. 30, 2019 USD ($) restaurant	Jul. 04, 2021 restaurant	Jan. 02, 2022 USD ($) restaurant	Jan. 03, 2021 USD ($) restaurant	Dec. 29, 2019 USD ($) restaurant
Business Acquisition [Line Items]
Restaurants Acquired	5	14				19	19
Acquisition of restaurants, net of cash acquired | $							$ (30,819)	$ 0	$ (130,646)
Number Of Businesses Acquired, Fee Owned	1	12					13
Sale Leaseback Transaction, Number Of Restaurants Expected To Be Sold							12
Sale Leaseback Transaction, Net Book Value | $							$ 20,200
2019 Acquisitions [Member]
Business Acquisition [Line Items]
Restaurants Acquired							234
NEW YORK | 2019 Acquisitions [Member]
Business Acquisition [Line Items]
Restaurants Acquired			1	13	220		234
Acquisition of restaurants, net of cash acquired | $			$ (1,108)	$ (15,788)	$ (259,083)		$ (275,979)	$ (3,400)	$ (8,300)
Number Of Businesses Acquired, Fee Owned			0	0	14		14	2	6
Burger King Corporate [Member] | Cambridge Holdings, LLC [Member]
Business Acquisition [Line Items]
Restaurants Acquired						165
Popeyes Franchises [Member] | Cambridge Holdings, LLC [Member]
Business Acquisition [Line Items]
Restaurants Acquired						55