Income Taxes - Provision & Reconciliation (Details) - USD ($) $ in Thousands	12 Months Ended
	Jan. 03, 2023	Dec. 28, 2021	Dec. 29, 2020	Jan. 01, 2022
Income tax (benefit)/provision:
Income/(Loss) before income taxes	$ 32,892	$ 71,620	$ (356,036)
Current:
Federal	3,520	15,746	(38,414)
State	4,895	4,350	2,971
Total current	8,415	20,096	(35,443)
Deferred:
Federal	(17,733)	(20,434)	(52,607)
State	(913)	(415)	(14,621)
Total deferred	(18,646)	(20,849)	(67,228)
Total benefit	$ (10,231)	$ (753)	$ (102,671)
Income Taxes
U.S. federal statutory rate	21.00%	21.00%	21.00%
State and district income taxes, net of federal benefit	8.90%	4.20%	2.60%
Credit for FICA taxes paid on tips	(66.40%)	(24.20%)	2.10%
Other credits and incentives	(10.70%)	(4.20%)	0.30%
Impact of net operating loss carryback	0.00%	(6.30%)	3.40%
Deferred compensation	9.70%	(2.90%)	0.60%
Equity compensation	5.50%	0.00%	(0.40%)
Uncertain tax positions	(2.30%)	10.30%	0.00%
Non-deductible executive compensation	2.80%	0.30%	0.10%
Other (as a percent)	0.40%	0.70%	(0.70%)
Effective tax rate	(31.10%)	(1.10%)	28.80%
Cash refunds of carryback claims		$ 18,400		$ 21,300
Deferred FICA tax remittance			$ 4,300