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Summary of Significant Accounting Policies - Property and Equipment At Cost and Depreciable Useful Lives (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2023
Jan. 01, 2023
Jan. 02, 2022
Property, Plant and Equipment [Line Items]      
Property and equipment $ 138.1 $ 166.8  
Total property, plant and equipment, including held-for-sale, gross 165.9    
Depreciation expense 12.4 13.6 $ 16.4
Land      
Property, Plant and Equipment [Line Items]      
Property and equipment 0.0 0.0  
Work in process      
Property, Plant and Equipment [Line Items]      
Property and equipment 6.7 3.0  
Buildings and improvements      
Property, Plant and Equipment [Line Items]      
Property and equipment $ 0.4 0.4  
Buildings and improvements | Minimum      
Property, Plant and Equipment [Line Items]      
Estimated useful life 30 years    
Computer hardware and software      
Property, Plant and Equipment [Line Items]      
Property and equipment $ 123.1 126.8  
Computer hardware and software | Minimum      
Property, Plant and Equipment [Line Items]      
Estimated useful life 3 years    
Computer hardware and software | Maximum      
Property, Plant and Equipment [Line Items]      
Estimated useful life 12 years    
Equipment, furniture and fixtures      
Property, Plant and Equipment [Line Items]      
Property and equipment $ 22.6 22.7  
Estimated useful life 5 years    
Leasehold improvements      
Property, Plant and Equipment [Line Items]      
Property and equipment $ 13.1 $ 13.9  
Leasehold improvements | Headquarters      
Property, Plant and Equipment [Line Items]      
Estimated useful life 15 years    
Leasehold improvements | Maximum | Branches      
Property, Plant and Equipment [Line Items]      
Estimated useful life 5 years