Acquisition Table of Acquisitions (Details) $ in Thousands			12 Months Ended
	Jun. 23, 2021 USD ($) restaurant	Jun. 17, 2021 USD ($) restaurant	Jan. 01, 2023 USD ($) restaurant	Jan. 02, 2022 USD ($)	Jan. 03, 2021 USD ($)
Business Acquisition [Line Items]
Restaurants Acquired | restaurant	5	14	19
Payments to Acquire Businesses, Gross | $	$ 3,216	$ 27,603	$ 30,819
Acquisition of restaurants, net of cash acquired | $			$ 0	$ (30,819)	$ 0
Number Of Businesses Acquired, Fee Owned | restaurant	1	12	13
Sale Leaseback Transaction, Number Of Restaurants Expected To Be Sold | restaurant			12
Sale Leaseback Transaction, Net Book Value | $			$ 20,200