System Optimization Gains, Net Summary of Disposition Activity (Details) $ in Thousands	3 Months Ended	9 Months Ended
Oct. 02, 2022 USD ($) number_of_restaurants	Oct. 03, 2021 USD ($) number_of_restaurants	Oct. 02, 2022 USD ($) number_of_restaurants	Oct. 03, 2021 USD ($) number_of_restaurants	Jan. 01, 2017
System optimization gains, net
Company-operated restaurant ownership percentage					5.00%
Proceeds from sales of restaurants			$ 3,731	$ 52,657
Gain on sales-type leases	$ 711	$ 705	2,868	4,244
System optimization gains, net	$ 452	$ 1,437	$ 4,138	$ 32,719
Sale of franchise-operated restaurants to franchisees
System optimization gains, net
Number of restaurants sold to franchisees \| number_of_restaurants			54	34
Sale of company-operated restaurants to franchisees
System optimization gains, net
Number of restaurants sold to franchisees \| number_of_restaurants	1	0	1	47
Proceeds from sales of restaurants	$ 79	$ 0	$ 79	$ 50,518
Net Assets Sold	(141)	0	(141)	(16,939)
Goodwill related to sales of restaurants	0	0	0	(4,847)
Net unfavorable leases	(360)	0	(360)	(2,939)
Gain on sales-type leases	0	0	0	7,156
Other	6	0	6	(2,148)
Gain on sales of restaurants, net, before post-closing adjustments	(416)	0	(416)	30,801
Post closing adjustments on sales of restaurants	0	5	3,522	520
System optimization gains, net	(416)	5	3,106	31,321
Favorable lease		3,799		3,799
Unfavorable lease		6,738		6,738
Deferred gain on sale of property		3,500		3,500
Sale of other assets
System optimization gains, net
Proceeds from sales of restaurants	2,510	2,100	3,368	2,113
System optimization gains, net	868	1,432	1,032	1,398
Sale of manhattan company-operated restaurants to franchisees note receivable
System optimization gains, net
Proceeds from sales of restaurants	$ 126	$ 26	$ 284	$ 26

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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Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

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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 Assets Before Post Closing Purchase Price Adjustments

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Net Assets Sold

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Net Lease Assets (Liabilities)

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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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