Revenue Recognition - Narrative (Details) - USD ($) $ in Thousands	12 Months Ended
	Jan. 03, 2023	Dec. 28, 2021	Dec. 29, 2020
Disaggregation of Revenue [Line Items]
Gift card liability, current	$ 2,430	$ 2,850
Revenue recognized for redemption of gift cards	3,400	3,200	$ 3,500
Gift card breakage	$ 500	300	300
Period in which initial fees received from franchisees will be recognized as revenue	20 years
Deferred revenue	$ 300	400
Initial fees from franchisees
Disaggregation of Revenue [Line Items]
Revenue recognized that was included in contract liability	100	100	$ 100
Accrued expenses and other current liabilities
Disaggregation of Revenue [Line Items]
Gift card liability, current	2,400	2,800
Other long-term liabilities
Disaggregation of Revenue [Line Items]
Gift card liability, non-current	$ 700	$ 600