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Shareholders' Deficit - Schedule of Stock-Based Compensation Expense (Details) - USD ($)
$ in Thousands
12 Months Ended
Jan. 01, 2022
Jan. 02, 2021
Dec. 28, 2019
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Total stock-based compensation expense $ 23,214 $ 21,813 $ 16,657
Income tax benefit 5,722 5,126 3,998
Total stock-based compensation expense, net of tax 17,492 16,687 12,659
Stock awards      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Total stock-based compensation expense 20,216 19,435 14,265
Stock options      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Total stock-based compensation expense $ 2,998 $ 2,378 $ 2,392