Income Taxes - Additional Information (Detail) - USD ($)	12 Months Ended
	Jan. 02, 2024	Jan. 03, 2023	Dec. 28, 2021	Dec. 29, 2020
Significant Change In Unrecognized Tax Benefits Is Reasonably Possible [Line Items]
Income tax credit carryforwards	$ 67,596,000	$ 56,780,000
Net operating losses	5,085,000	7,347,000
Valuation allowances against net operating loss and tax credit carryforwards	889,000	1,151,000
Accrued penalties and interest to uncertain tax positions	100,000	100,000
Unrecognized tax benefits	967,000	1,249,000	$ 1,198,000	$ 1,333,000
Unrecognized tax benefits that would impact effective tax rate, if reversed	900,000
Anticipated decrease in liability for unrecognized tax benefits within next twelve-month period	$ 0
Earliest Tax Year
Significant Change In Unrecognized Tax Benefits Is Reasonably Possible [Line Items]
Tax credits expiration year	2024
Federal
Significant Change In Unrecognized Tax Benefits Is Reasonably Possible [Line Items]
Income tax credit carryforwards	$ 67,500,000
Tax credits expiration year	2038
Valuation allowances against net operating loss and tax credit carryforwards	$ 0	0
Federal | Earliest Tax Year
Significant Change In Unrecognized Tax Benefits Is Reasonably Possible [Line Items]
Income tax examination, years open	2020
State or Local Taxing Jurisdiction
Significant Change In Unrecognized Tax Benefits Is Reasonably Possible [Line Items]
Income tax credit carryforwards	$ 100,000
Tax credits expiration year	2038
Valuation allowances against net operating loss and tax credit carryforwards	$ 900,000	$ 1,200,000
State or Local Taxing Jurisdiction | Earliest Tax Year
Significant Change In Unrecognized Tax Benefits Is Reasonably Possible [Line Items]
Income tax examination, years open	2019
Expiration Periods Beginning 2024
Significant Change In Unrecognized Tax Benefits Is Reasonably Possible [Line Items]
State and city net operating loss carryforwards	$ 110,500,000
Expiration Periods Beginning 2024 | Minimum
Significant Change In Unrecognized Tax Benefits Is Reasonably Possible [Line Items]
Expiration period	0 years
Expiration Periods Beginning 2024 | Maximum
Significant Change In Unrecognized Tax Benefits Is Reasonably Possible [Line Items]
Expiration period	5 years