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Shareholders' Deficit - Schedule of Stock-Based Compensation Expense (Details) - USD ($)
$ in Thousands
12 Months Ended
Dec. 31, 2022
Jan. 01, 2022
Jan. 02, 2021
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Total stock-based compensation expense $ 13,223 $ 23,214 $ 21,813
Income tax benefit 3,319 5,722 5,126
Total stock-based compensation expense, net of tax 9,904 17,492 16,687
Stock awards      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Total stock-based compensation expense 9,471 20,216 19,435
Stock options      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Total stock-based compensation expense $ 3,752 $ 2,998 $ 2,378