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Retirement Plans - Additional Information (Details) - USD ($)
$ in Millions
12 Months Ended
Jan. 01, 2022
Jan. 02, 2021
Dec. 28, 2019
Pension Plans, Postretirement and Other Employee Benefits [Line Items]      
Total expenses with respect to plans $ 6.3 $ 6.0 $ 5.2
Expected contribution to pension plans, next fiscal year 0.5    
Fair value of plan assets 15.4 15.1 14.0
U.S.      
Pension Plans, Postretirement and Other Employee Benefits [Line Items]      
Accumulated benefit obligation 9.4 9.5  
Fair value of plan assets $ 9.2 9.1 8.1
U.S. | Fixed income investments      
Pension Plans, Postretirement and Other Employee Benefits [Line Items]      
Plan assets, target allocation percentage in securities 100.00%    
International      
Pension Plans, Postretirement and Other Employee Benefits [Line Items]      
Accumulated benefit obligation $ 13.9 13.4  
Fair value of plan assets $ 6.2 $ 6.0 $ 5.9
International | Fixed income investments | Minimum      
Pension Plans, Postretirement and Other Employee Benefits [Line Items]      
Plan assets, target allocation percentage in securities 20.00%    
International | Fixed income investments | Maximum      
Pension Plans, Postretirement and Other Employee Benefits [Line Items]      
Plan assets, target allocation percentage in securities 50.00%    
International | Equity securities | Minimum      
Pension Plans, Postretirement and Other Employee Benefits [Line Items]      
Plan assets, target allocation percentage in securities 50.00%    
International | Equity securities | Maximum      
Pension Plans, Postretirement and Other Employee Benefits [Line Items]      
Plan assets, target allocation percentage in securities 80.00%    
International | Real estate | Minimum      
Pension Plans, Postretirement and Other Employee Benefits [Line Items]      
Plan assets, target allocation percentage in securities 0.00%    
International | Real estate | Maximum      
Pension Plans, Postretirement and Other Employee Benefits [Line Items]      
Plan assets, target allocation percentage in securities 30.00%    
International | Alternative Investments | Minimum      
Pension Plans, Postretirement and Other Employee Benefits [Line Items]      
Plan assets, target allocation percentage in securities 0.00%    
International | Alternative Investments | Maximum      
Pension Plans, Postretirement and Other Employee Benefits [Line Items]      
Plan assets, target allocation percentage in securities 15.00%