Restaurant Impairments, Closure Costs and Asset Disposals - Narrative (Details) $ in Millions	12 Months Ended
Jan. 03, 2023 USD ($) restaurant	Dec. 28, 2021 USD ($) restaurant	Dec. 29, 2020 USD ($) restaurant
Restructuring and Related Activities [Abstract]
Number of restaurants impaired \| restaurant	4	6	8
Loss on disposal	$ 0.3
Write down related to assets held for sale		$ 0.5
Number of restaurants closed \| restaurant	5	12	6
Offset adjustment to closure costs related to lease terminations	$ (0.1)	$ 0.2	$ 0.6
Disposal Group, Not Discontinued Operation, Gain (Loss) on Disposal, Statement of Income or Comprehensive Income [Extensible Enumeration]	Restaurant impairments, closure costs and asset disposals

Number Of Restaurants Closed

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Number Of Restaurants Impaired

+ References

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- Definition

Amount before tax of gain (loss) recognized on the sale or disposal of a disposal group. Excludes discontinued operations.

+ References

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
-Publisher FASB
-Name Accounting Standards Codification
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Indicates line item in statement of income that includes gain (loss) recognized on sale or disposal of disposal group. Excludes discontinued operation.

+ References

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-Name Accounting Standards Codification
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Amount, before tax, of (gain) loss recognized for the (reversal of write-down) write-down to fair value, less cost to sell, of a disposal group. Excludes discontinued operations.

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Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
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Amount of gain (loss) on termination of lease before expiration of lease term.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
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