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Restructuring - Restructuring Reserve (Details) - USD ($)
$ in Millions
12 Months Ended
Jan. 02, 2022
Jan. 03, 2021
Dec. 29, 2019
Restructuring Reserve [Roll Forward]      
Balance at beginning of year $ 3.5 $ 0.3  
Additions charged to reserve   12.8  
Reductions for lease termination costs related to fixed assets   (0.6)  
Reductions for cash payments related to all restructuring activities (4.6) (9.0)  
Balance at end of year 2.9 3.5 $ 0.3
Professional & Industrial      
Restructuring Reserve [Roll Forward]      
Additions charged to reserve   6.0 5.1
Science, Engineering & Technology      
Restructuring Reserve [Roll Forward]      
Additions charged to reserve   0.6 $ 0.4
Education      
Restructuring Reserve [Roll Forward]      
Additions charged to reserve   1.0  
Outsourcing & Consulting      
Restructuring Reserve [Roll Forward]      
Additions charged to reserve   0.3  
International      
Restructuring Reserve [Roll Forward]      
Additions charged to reserve 1.2 1.4  
Corporate      
Restructuring Reserve [Roll Forward]      
Additions charged to reserve $ 2.8 $ 3.5