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Restructuring - Schedule of Restructuring and Related Costs (Details) - USD ($)
$ in Millions
 12 Months Ended
Jan. 01, 2023
Jan. 02, 2022
Jan. 03, 2021
Restructuring Cost and Reserve [Line Items]      
Severance Costs $ 1.5 $ 4.0 $ 8.0
Lease Termination Costs 0.2   4.8
Total 1.7   12.8
Selling, General and Administrative Expenses      
Restructuring Cost and Reserve [Line Items]      
Total 1.7 4.0 12.8
Professional & Industrial      
Restructuring Cost and Reserve [Line Items]      
Severance Costs 0.1   2.5
Lease Termination Costs 0.2   3.5
Total 0.3   6.0
Science, Engineering & Technology      
Restructuring Cost and Reserve [Line Items]      
Severance Costs     0.1
Lease Termination Costs     0.5
Total     0.6
Education      
Restructuring Cost and Reserve [Line Items]      
Severance Costs 0.4   0.9
Lease Termination Costs 0.0   0.1
Total 0.4   1.0
Outsourcing & Consulting      
Restructuring Cost and Reserve [Line Items]      
Severance Costs 0.2   0.3
Lease Termination Costs 0.0   0.0
Total 0.2   0.3
International      
Restructuring Cost and Reserve [Line Items]      
Severance Costs   1.2 0.7
Lease Termination Costs     0.7
Total   1.2 1.4
Corporate      
Restructuring Cost and Reserve [Line Items]      
Severance Costs 0.8 2.8 3.5
Lease Termination Costs 0.0   0.0
Total $ 0.8 $ 2.8 $ 3.5