Acquisition Narrative (Details) $ in Millions			3 Months Ended	12 Months Ended
	Jun. 23, 2021 restaurant	Jun. 17, 2021 restaurant	Jul. 03, 2022 USD ($)	Jan. 01, 2023 USD ($) restaurant	Jan. 02, 2022 USD ($)	Jan. 03, 2021 restaurant
Business Acquisition [Line Items]
Proceeds From Sale Of Fee-Owned Properties			$ 0.2
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				$ 20.2
Number of Businesses Sold, Fee Owned | restaurant						1
Deferred income taxes				1.8
Pro forma transaction costs				0.4
2021 Acquisitions
Business Acquisition [Line Items]
Revenue				$ 12.9	$ 21.9