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Summary of Significant Accounting Policies - Schedule of Supplemental Cash Flow Information (Details) - USD ($)
$ in Millions
 12 Months Ended
Jan. 03, 2026
Dec. 28, 2024
Dec. 30, 2023
Dec. 31, 2022
Non-cash investing activities - continuing operations:        
Unpaid purchases of property and equipment $ 1.7 $ 0.7 $ 0.2  
Non-cash financing activities - continuing operations:        
Unpaid excise taxes on stock repurchases 2.0 0.0 0.0  
Unpaid debt issuance costs 0.3 0.0 0.0  
Reconciliation of cash, cash equivalents and restricted cash:        
Cash and cash equivalents: 152.3 123.6    
Total cash, cash equivalents and restricted cash shown in the statement of cash flows 153.3 181.4 168.2 $ 209.6
Continuing operations        
Cash paid during the year for:        
Interest expense: 32.8 36.7 46.1  
Income taxes: 28.5 35.9 20.4  
Operating lease liabilities: 10.1 10.9 10.4  
Non-cash operating activities:        
ROU assets obtained in exchange for lease liabilities: 11.1 10.2 5.0  
Reconciliation of cash, cash equivalents and restricted cash:        
Cash and cash equivalents: 152.3 123.6 120.8  
Restricted cash: 0.0 2.7 4.1  
Discontinued operations        
Cash paid during the year for:        
Interest expense: 1.5 2.4 4.9  
Income taxes: 8.8 6.0 34.0  
Operating lease liabilities: 10.4 13.7 12.0  
Non-cash operating activities:        
ROU assets obtained in exchange for lease liabilities: 0.6 18.4 11.3  
Reconciliation of cash, cash equivalents and restricted cash:        
Cash and cash equivalents: 1.0 54.0 42.2  
Restricted cash: $ 0.0 $ 1.1 $ 1.1