Other Income (Details) $ in Thousands	12 Months Ended
	Dec. 31, 2023 USD ($)	Jan. 01, 2023 USD ($)	Jan. 02, 2022 USD ($) restaurant
Other Income and Expenses [Abstract]
Other Operating Income (Expense), Net	$ (6,058)	$ (926)	$ (1,186)
Sale and Leaseback Transaction, Gain (Loss), Net	(1,179)	425	22
Property, Plant and Equipment, Disposals	1,400	1,200	1,200
Gain on insurance recoveries	(1,700)		$ (1,300)
Number Of Restaurants Subject To Insurance Recovery | restaurant			2
Sales-type and Direct Financing Leases, Profit (Loss)		(400)
Gain (Loss) Related to Litigation Settlement	$ (4,300)
Litigation Settlement, Amount Awarded from Other Party		$ (2,500)	$ (1,100)
Gain on Business Interruption Insurance Recovery, Statement of Income or Comprehensive Income [Extensible Enumeration]	Other Operating Income (Expense), Net