Income Taxes - Provision & Reconciliation (Details) - USD ($) $ in Thousands	3 Months Ended	12 Months Ended
	Jan. 02, 2018	Jan. 01, 2019	Jan. 02, 2018	Jan. 03, 2017
Income Taxes
Income before income taxes		$ 107,411	$ 146,466	$ 191,768
Current:
Federal		5,082	7,148	42,665
State		8,804	7,106	10,614
Total current		13,886	14,254	53,279
Deferred:
Federal		(4,549)	(24,570)	(564)
State		(961)	(610)	(441)
Total deferred		(5,510)	(25,180)	(1,005)
Total provision/(benefit)		$ 8,376	$ (10,926)	$ 52,274
U.S. statutory corporate tax rate (as a percent)		21.00%	35.00%	35.00%
Income tax benefit due to revalue of deferred tax assets and liabilities	$ 38,500		$ 38,500
Income Taxes Rate Reconciliation
U.S. federal statutory rate (as a percent)		21.00%	35.00%	35.00%
State and district income taxes, net of federal benefit (as a percent)		6.10%	3.30%	3.50%
Credit for FICA taxes paid on tips (as a percent)		(16.50%)	(9.40%)	(7.00%)
Other credits and incentives (as a percent)		(2.50%)	(1.90%)	(1.30%)
Manufacturing deduction (as a percent)			(2.30%)	(2.50%)
Deferred compensation (as a percent)		0.80%	(1.50%)	(0.50%)
Equity compensation (as a percent)		(1.50%)	(4.50%)
Impact of statutory rate change on deferred taxes (as a percent)			(26.30%)
Other (as a percent)		0.40%	0.10%	0.10%
Effective tax rate (as a percent)		7.80%	(7.50%)	27.30%