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Stock-Based Compensation and Other Stock Plans - Performance Share Unit and Restricted Stock Unit Awards Narrative (Details) - USD ($)
$ / shares in Units, $ in Millions
12 Months Ended
Jan. 02, 2021
Jan. 01, 2022
Jan. 02, 2021
Dec. 28, 2019
Performance Awards        
Share-based Compensation Arrangement by Share-based Payment Award, Compensation Cost [Line Items]        
Weighted average contractual term (in years)   3 years    
Maximum stock percentage to be awarded   100.00%    
Performance period for awards granted (in years)   3 years    
Weighted-average grant date fair value granted (in dollars per share)   $ 184.32 $ 155.34 $ 155.92
Shares vested (in shares)   46,343 0 21,183
Performance awards shares paid out   0 21,183 32,114
Time-based RSUs        
Share-based Compensation Arrangement by Share-based Payment Award, Compensation Cost [Line Items]        
Weighted average contractual term (in years)   3 years    
Awards granted vesting period (in years)   3 years    
Shares granted (in shares)   32,265    
Performance-based RSUs        
Share-based Compensation Arrangement by Share-based Payment Award, Compensation Cost [Line Items]        
Performance period for awards granted (in years) 1 year      
Awards granted vesting period (in years) 2 years      
Shares granted (in shares)     0 0
Nonvested PSUs and RSUs        
Share-based Compensation Arrangement by Share-based Payment Award, Compensation Cost [Line Items]        
Weighted-average grant date fair value granted (in dollars per share)   $ 184.32    
Shares vested (in shares)   46,000    
Shares granted (in shares)   188,000    
Unrecognized compensation cost related to non-vested award   $ 22.9    
Cost expected to be recognized over weighted-average period (in years)   1 year 4 months 24 days