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Contingencies - Narrative (Details) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
Jan. 02, 2022
Jan. 01, 2023
Jan. 02, 2022
Jan. 03, 2021
Loss Contingencies [Line Items]        
Accrual for litigation costs $ 1.4 $ 2.3 $ 1.4  
Insurance recoveries 5.5 12.1 5.5  
Proceeds from insurance settlement 19.0 0.0 19.0 $ 0.0
Prepaid Expenses and Other Current Assets        
Loss Contingencies [Line Items]        
Insurance recoveries $ 0.0 0.6 $ 0.0  
Minimum        
Loss Contingencies [Line Items]        
Loss contingency, portion not accrued   0.0    
Maximum        
Loss Contingencies [Line Items]        
Loss contingency, portion not accrued   $ 5.6