Stockholders' Equity (Details) - USD ($)				3 Months Ended	12 Months Ended
	Oct. 03, 2023	Jan. 06, 2021	Feb. 08, 2017	Oct. 03, 2023	Jan. 02, 2024	Jul. 26, 2023	Jan. 03, 2023
Class of Stock [Line Items]
Shares of stock authorized					181,000,000
Common stock authorized (in shares)					180,000,000		180,000,000
Common stock, par value					$ 0.01		$ 0.01
Preferred stock authorized (in shares)					1,000,000		1,000,000
Preferred stock, par value					$ 0.01		$ 0.01
Stock Repurchase Program, Authorized Amount						$ 5,000,000
Stock Repurchased and Retired During Period, Shares				1,731,952
Stock Repurchased and Retired During Period, Value				$ 5,000,000	$ 5,004,000
Shares Acquired, Average Cost Per Share	$ 2.86
L Catterton agreement warrants
Class of Stock [Line Items]
Warrants term			5 years
Number of shares called by warrants			1,913,793
Warrant exercise price (USD per share)			$ 4.35
Securities Purchase Agreement - L Catterton
Class of Stock [Line Items]
Proceeds from securities purchase agreement			$ 18,500,000
Class A common stock
Class of Stock [Line Items]
Common stock authorized (in shares)					150,000,000
Common stock, par value					$ 0.01
Common shares issued upon exercise of warrants		837,948
Class A common stock | Securities Purchase Agreement - L Catterton
Class of Stock [Line Items]
Common stock, par value			$ 0.01
Common shares into which preferred stock can be converted (shares)			4,252,873
Class B common stock
Class of Stock [Line Items]
Common stock authorized (in shares)					30,000,000
Common stock, par value					$ 0.01
Preferred stock
Class of Stock [Line Items]
Preferred stock authorized (in shares)					1,000,000
Preferred stock, par value					$ 0.01
Preferred stock | Securities Purchase Agreement - L Catterton
Class of Stock [Line Items]
Number of shares sold			18,500
Price per share (USD per share)			$ 1,000