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Shareholders' Deficit - Additional Information (Details) - USD ($)
shares in Millions
12 Months Ended
Jan. 01, 2022
Jan. 02, 2021
Dec. 28, 2019
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Proceeds from stock options exercised $ 4,400,000    
Tax benefit from exercise of stock options 3,900,000    
Approved share repurchase program 600,000,000    
Remaining authorized stock purchase plan $ 403,000,000    
Stock options      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Antidilutive securities excluded from computation of earnings per share, amount 0.1 0.2 0.2
Stock options      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Stock-based compensation expense related to non-vested awards $ 4,200,000    
Weighted average period to recognize remaining expense over 1 year 10 months 24 days    
Time- Based Stock Awards      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Stock-based compensation expense related to non-vested awards $ 8,300,000    
Weighted average period to recognize remaining expense over 1 year 10 months 24 days    
Performance- Based Stock Awards      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Stock-based compensation expense related to non-vested awards $ 19,400,000    
Weighted average period to recognize remaining expense over 1 year 10 months 24 days