System Optimization Gains, Net Summary of Disposition Activity (Details) $ in Thousands	12 Months Ended
Jan. 02, 2022 USD ($) number_of_restaurants	Jan. 03, 2021 USD ($) number_of_restaurants	Dec. 29, 2019 USD ($) number_of_restaurants	Jan. 01, 2017
System optimization gains, net
Company-operated restaurant ownership percentage				5.00%
Proceeds from sales of restaurants	$ 55,118	$ 6,091	$ 3,448
Gain on sales-type leases	4,244	1,995	2,285
System optimization gains, net	$ 33,545	$ 3,148	$ 1,283
Sale of franchise-operated restaurants to franchisees
System optimization gains, net
Number of restaurants sold to franchisees \| number_of_restaurants	34	54	37
Sale of company-operated restaurants to franchisees
System optimization gains, net
Number of restaurants sold to franchisees \| number_of_restaurants	47	1	0
Proceeds from sales of restaurants	$ 50,518	$ 50	$ 0
Net assets sold	(16,939)	(34)	0
Goodwill related to sales of restaurants	(4,847)	0	0
Net unfavorable leases	(2,939)	0	0
Gain on sales-type leases	7,156	0	0
Other	(2,148)	0	0
Gain on sales of restaurants, net, before post-closing adjustments	30,801	16	0
Post-closing adjustments on sales of restaurants	1,218	362	1,087
System optimization gains, net	32,019	378	1,087
Favorable lease	3,799
Unfavorable lease	6,738
Deferred gain on sale of property	3,500
Recognition of deferred gain on sale of property	515	368	911
Sale of other assets
System optimization gains, net
Proceeds from sales of restaurants	4,561	6,041	3,448
System optimization gains, net	1,526	$ 2,770	$ 196
Sale of manhattan company-operated restaurants to franchisees note receivable
System optimization gains, net
Proceeds from sales of restaurants	39
Sale of manhattan company-operated restaurants to franchisees
System optimization gains, net
Gain on sales-type leases	1,625
Write-off of lease assets	$ 927

Amount of gain on the sale of property that does not qualify for gain recognition as of the balance sheet date.

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This element represents the identifiable intangible asset established upon acquisition based on a favorable difference between the terms of an acquired lease and the current market terms for that lease at the acquisition date.

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Amount of gain (loss) on sale or disposal of property, plant and equipment assets, including oil and gas property and timber property.

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Amount of increase (decrease) of an asset representing future economic benefits arising from other assets acquired in a business combination that are not individually identified and separately recognized.

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The cash inflow from the sale of long-lived, physical assets that are used in the normal conduct of business to produce goods and services and not intended for resale.

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Amount of profit (loss) for sales-type lease and (loss) for direct financing lease recognized at commencement.

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The number of franchises sold during the period when there are significant changes in franchisor-owned outlets or franchised outlets during the period.

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Approximate Company-operated restaurant ownership percentage

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Gain (loss) on disposition of restaurants to franchisees as part of the system optimization initiative, before the impact of post closing purchase price adjustments on previously completed dispositions.

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Lease Assets, Write-offs

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Net Assets Sold

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Net Lease Assets (Liabilities) - Net of favorable lease assets and unfavorable lease liabilities as a result of the lease and/or sublease of land, buildings, and/or leasehold improvements to franchisees, in connection with sales of restaurants.

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Other gain (loss) on disposition, net

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Post Closing Adjustments on Sales of Restaurants

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Recognition of deferred gain on sale of property

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