Income Taxes - Components of Deferred Income Taxes (Details) - USD ($) $ in Thousands	Jan. 03, 2023	Dec. 28, 2021
Deferred tax assets (liabilities):
Loss carry forwards	$ 39,339	$ 37,534
Deferred franchise revenue	2,411	1,128
Property, equipment and intangible assets	(14,802)	(11,821)
Stock-based compensation	1,970	1,676
Tax credit carry forwards	7,231	5,624
Interest expense	617	0
Inventory smallwares	(1,700)	(1,646)
Other accrued expenses	391	1,154
Operating lease assets	(49,459)	(51,136)
Operating lease liabilities	59,747	61,844
Other	1,348	1,138
Total deferred tax assets	47,093	45,495
Valuation allowance	(47,322)	(45,764)
Net deferred tax liabilities	$ (229)	$ (269)