Stock-Based Compensation and Other Stock Plans - Other Stock Plans Narrative (Details) - USD ($) $ in Millions	12 Months Ended
Jan. 01, 2022	Jan. 02, 2021	Dec. 28, 2019
Directors' Fee Plan
Share-based Compensation Arrangement by Share-based Payment Award, Compensation Cost [Line Items]
Percentage of non-employee directors fee	100.00%
Number of shares issued (in shares)	1,235	1,836	1,784
Deferred shares received (in shares)	922	1,364	1,374
Number of shares reserved for issuance (in shares)	189,837
Non-employee Directors \| Restricted Stock
Share-based Compensation Arrangement by Share-based Payment Award, Compensation Cost [Line Items]
Shares granted (in shares)	6,858	7,380	7,605
Vesting period	1 year
Employees Stock Purchase Plan
Share-based Compensation Arrangement by Share-based Payment Award, Compensation Cost [Line Items]
Number of shares issued (in shares)	82,286	25,425	25,820
Number of shares reserved for issuance (in shares)	597,275
Employee contributions for purchase of common stock	$ 3.0
Compensation expense	$ 9.6	$ 1.1	$ 0.1
Franchisee Stock Purchase Plan
Share-based Compensation Arrangement by Share-based Payment Award, Compensation Cost [Line Items]
Number of shares issued (in shares)	143,388	55,980	49,921
Number of shares reserved for issuance (in shares)	270,162
Compensation expense	$ 16.7	$ 1.9	$ 0.8
Franchisee contributions for purchase of common stock	$ 7.0

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Employee Contributions For Purchase Of Common Stock

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Franchisee Contributions For Purchase of Common Stock.

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Percentage Of Non-Employee Directors Fee

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Amount of expense for award under share-based payment arrangement. Excludes amount capitalized.

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Period over which grantee's right to exercise award under share-based payment arrangement is no longer contingent on satisfaction of service or performance condition, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents reported fact of one year, five months, and thirteen days. Includes, but is not limited to, combination of market, performance or service condition.

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