Dispositions - Tabular (Details) - USD ($) $ in Thousands	12 Months Ended
	Jan. 02, 2022	Jan. 03, 2021	Dec. 29, 2019
Carrying amount of major classes of assets included as part of discontinued operations:
Accounts receivable		$ 3,951
Inventories		2,104
Prepaid expenses and other current assets		2,423
Total current assets of the disposal group classified as held for sale	$ 0	8,478
Property and equipment, net		63,214
Operating lease right-of-use assets		96,639
Other assets		170
Total non-current assets of the disposal group classified as held for sale	0	160,023
Total assets of the disposal group classified as held for sale		168,501
Carrying amount of major classes of liabilities included as part of discontinued operations:
Current portion of long-term debt		199
Accounts payable		5,014
Accrued liabilities		9,363
Other current liabilities		12,649
Total current liabilities of the disposal group classified as held for sale	0	27,225
Long-term debt, net of current portion		740
Operating lease liabilities		93,970
Deferred tax liabilities		1,840
Other non-current liabilities		1,773
Total non-current liabilities of the disposal group classified as held for sale	0	98,323
Total liabilities of the disposal group classified as held for sale		125,548
Revenues:
Total revenues	152,339	239,445	$ 297,470
Costs and expenses:
Cost of sales	43,480	70,433	92,334
Restaurant wages and related expenses (including stock-based compensation expense of $172, $127, and $125, respectively)	48,399	74,817	94,269
Restaurant rent expense	12,995	22,588	25,755
Other restaurant operating expenses	24,814	34,357	41,623
General and administrative (including stock-based compensation expense of $1,688, $603, and $329, respectively)	11,442	13,229	14,290
Depreciation and amortization	7,799	16,197	17,009
Pre-opening costs	0	69	592
Other income and expense items that are not major	3,935	10,133	24,994
Total operating expenses	152,864	241,823	378,775
Income (loss) from operations	(525)	(2,378)	(81,305)
Interest expense	4,678	4,464	3,547
Gain on sale of Taco Cabana	(24,979)	0	0
Loss on extinguishment of debt	5,307	1,241	0
Income (loss) from discontinued operations before income taxes	14,469	(8,083)	(84,852)
Provision for (benefit from) income taxes	(3,986)	(1,258)	(2,461)
Income (loss) from discontinued operations, net of tax	18,455	(6,825)	(82,391)
Non-cash Operating Activities [Abstract]
Gain on disposals of property and equipment, net	(124)	(3,267)	(6)
Stock-based compensation	6,076	3,484	2,844
Impairment and other lease charges	1,670	9,139	13,101
Goodwill impairment	0	0	67,909
Loss on extinguishment of debt	5,307	1,241	0
Gain on sale of Taco Cabana	(24,979)	0	0
Depreciation and amortization	28,373	38,206	39,195
Investing activities:
New restaurant development	0	(1,863)	(11,390)
Restaurant remodeling	(2,380)	(1,103)	(2,573)
Other restaurant capital expenditures	(14,732)	(11,270)	(19,335)
Corporate and restaurant information systems	(2,416)	(4,133)	(7,949)
Total capital expenditures	(19,528)	(18,369)	(41,247)
Proceeds from sale of Taco Cabana	74,910	0	0
Proceeds from disposals of properties	1,307	9,559	1,774
Proceeds from sale-leaseback transactions	3,083	17,222	0
Net cash provided by (used in) investing activities – discontinued operations	72,798	385	(18,125)
Supplemental cash flow disclosures of non-cash investing and financing activities:
Operating lease right-of-use assets	154,127	164,665
Operating lease liabilities	173,651	183,831
Discontinued Operations
Costs and expenses:
Stock-based compensation expense	1,900	700	500
Goodwill impairment	0	0	67,909
Loss on extinguishment of debt	5,307	1,241	0
Non-cash Operating Activities [Abstract]
Gain on disposals of property and equipment, net	(217)	(551)	21
Stock-based compensation	1,860	730	454
Impairment and other lease charges	132	1,116	13,086
Goodwill impairment	0	0	67,909
Loss on extinguishment of debt	5,307	1,241	0
Gain on sale of Taco Cabana	(24,979)	0	0
Depreciation and amortization	7,799	16,197	17,009
Investing activities:
New restaurant development	0	(854)	(4,065)
Restaurant remodeling	(1,283)	(745)	(919)
Other restaurant capital expenditures	(5,050)	(4,728)	(9,266)
Corporate and restaurant information systems	(169)	(1,559)	(3,875)
Total capital expenditures	(6,502)	(7,886)	(18,125)
Proceeds from sale of Taco Cabana	74,910	0	0
Proceeds from disposals of properties	1,307	4,305	0
Proceeds from sale-leaseback transactions	3,083	3,966	0
Supplemental cash flow disclosures:
Capitalized interest included in interest paid	0	57	247
Interest paid on long-term debt	4,338	4,001	4,198
Supplemental cash flow disclosures of non-cash investing and financing activities:
Accruals for capital expenditures	0	1,027	1,510
Accruals for financing costs associated with debt	0	277	0
Operating lease ROU assets	5,156	18,466	6,456
Finance lease obligations incurred	0	33	304
Operating lease ROU assets	2,695	953	794
Operating lease liabilities	3,443	1,217	1,054
Operating lease right-of-use assets	0	0	112,905
Operating lease liabilities	0	0	122,441
Discontinued Operations | Restaurant Wages And Related Expenses
Costs and expenses:
Stock-based compensation expense	172	127	125
Discontinued Operations | General and Administrative Expense
Costs and expenses:
Stock-based compensation expense	$ 1,688	$ 603	$ 329