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Pension Plans - Narrative (Detail) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2022
Jan. 01, 2022
Jan. 02, 2021
Defined Benefit Plan Disclosure [Line Items]      
Normal retirement age 65 years    
Accumulated benefit obligation $ 1,201.8 $ 1,580.4  
Expense recognized related to 401(k)plan $ 11.8 $ 11.3 $ 10.3
Minimum      
Defined Benefit Plan Disclosure [Line Items]      
Time horizon for asset under risk and correlation assumption (in years) 10 years    
Maximum      
Defined Benefit Plan Disclosure [Line Items]      
Time horizon for asset under risk and correlation assumption (in years) 20 years    
United States      
Defined Benefit Plan Disclosure [Line Items]      
Weighted-average discount rate 5.50%    
Increase in pension expense $ 4.5    
Increase in projected benefit obligation $ 48.6    
Percentage of projected benefit obligations 85.00%    
Foreign Pension Plans      
Defined Benefit Plan Disclosure [Line Items]      
Weighted-average discount rate 4.80%    
Increase in pension expense $ 1.4    
Increase in projected benefit obligation $ 12.3    
Pension Plan      
Defined Benefit Plan Disclosure [Line Items]      
Expected long-term rate of return on plan assets 6.20% 6.50% 7.00%
Pension Plan | United States      
Defined Benefit Plan Disclosure [Line Items]      
Expected future employer contributions $ 2.4    
Expected long-term rate of return on plan assets 7.50%    
Pension plans' assets as percentage of worldwide pension assets 87.00%    
Pension Plan | Foreign Pension Plans      
Defined Benefit Plan Disclosure [Line Items]      
Expected future employer contributions $ 6.9    
Pension Plan | Foreign Pension Plans | Minimum      
Defined Benefit Plan Disclosure [Line Items]      
Expected long-term rate of return on plan assets 2.20%    
Pension Plan | Foreign Pension Plans | Maximum      
Defined Benefit Plan Disclosure [Line Items]      
Expected long-term rate of return on plan assets 6.90%