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Stock-Based Compensation and Other Stock Plans - Stock Appreciation Rights Narrative (Details) - USD ($)
12 Months Ended
Jan. 01, 2022
Jan. 02, 2021
Dec. 28, 2019
Stock-Settled SARs      
Share-based Compensation Arrangement by Share-based Payment Award, Compensation Cost [Line Items]      
Weighted-average grant date fair value granted (in dollars per share) $ 24.05 $ 21.31 $ 26.45
Intrinsic value of stock exercised $ 3,100,000 $ 400,000 $ 100,000
Fair value of stock vested 2,100,000 2,300,000 2,100,000
Unrecognized compensation cost related to non-vested award $ 2,200,000    
Cost expected to be recognized over weighted-average period (in years) 1 year 4 months 24 days    
Cash-Settled Stock Appreciation Rights      
Share-based Compensation Arrangement by Share-based Payment Award, Compensation Cost [Line Items]      
Weighted average contractual term (in years) 10 years    
Weighted-average grant date fair value granted (in dollars per share) $ 37.69    
Intrinsic value of stock exercised $ 600,000 1,000,000 1,200,000
Fair value of stock vested 100,000 $ 100,000 $ 100,000
Unrecognized compensation cost related to non-vested award $ 100,000    
Cost expected to be recognized over weighted-average period (in years) 1 year 4 months 24 days