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Stock-Based Compensation and Other Stock Plans - Other Stock Plans Narrative (Details) - USD ($) $ in Millions	12 Months Ended
	Jan. 02, 2021	Dec. 28, 2019	Dec. 29, 2018
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)	1,836	1,784	1,727
Deferred shares received (in shares)	1,364	1,374	1,315
Number of shares reserved for issuance (in shares)	186,641
Non-employee Directors | Restricted Stock
Share-based Compensation Arrangement by Share-based Payment Award, Compensation Cost [Line Items]
Shares granted (in shares)	7,380	7,605	6,975
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)	25,425	25,820	22,794
Number of shares reserved for issuance (in shares)	679,561
Employee contributions for purchase of common stock	$ 3.3
Compensation expense	$ 1.1	$ 0.1	$ 0.3
Franchisee Stock Purchase Plan
Share-based Compensation Arrangement by Share-based Payment Award, Compensation Cost [Line Items]
Number of shares issued (in shares)	55,980	49,921	46,704
Number of shares reserved for issuance (in shares)	413,550
Compensation expense	$ 1.9	$ 0.8	$ 0.6
Franchisee contributions for purchase of common stock	$ 5.5

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