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Summary of Significant Accounting Policies - Narrative (Details) - USD ($)
$ in Millions
12 Months Ended
Dec. 31, 2023
Jan. 01, 2023
Jan. 02, 2022
Feb. 14, 2022
Accounting Policies [Line Items]        
Advertising expense $ 7.8 $ 6.4 $ 7.5  
Property and equipment, net, held for sale 27.8      
Depreciation expense 12.4 13.6 16.4  
Intangible assets, accumulated amortization 64.1 44.9    
Intangible assets, accumulated amortization, held for sale 2.3      
Accounts payable 646.1 723.3    
Accrued payroll and related taxes 156.2 315.8    
Disposal Group, Held-for-Sale, Not Discontinued Operations        
Accounting Policies [Line Items]        
Short-term hosted software 0.1      
Long-term hosted software 3.4      
Workers Compensation        
Accounting Policies [Line Items]        
Liability for claims 1.0      
Cloud Computing Arrangements        
Accounting Policies [Line Items]        
Amortization of intangible assets 6.9 4.2 $ 2.2  
Intangible assets, accumulated amortization 14.2 7.3    
Prepaid Expenses and Other Current Assets | Cloud Computing Arrangements        
Accounting Policies [Line Items]        
Short-term hosted software 4.9 2.7    
Other Noncurrent Assets | Cloud Computing Arrangements        
Accounting Policies [Line Items]        
Long-term hosted software 27.3 21.0    
Book overdrafts        
Accounting Policies [Line Items]        
Accounts payable 1.2 0.4    
Accrued payroll and related taxes $ 9.6 $ 67.6    
PersolKelly Pte. Ltd.        
Accounting Policies [Line Items]        
Equity method investment, ownership percentage     49.00% 49.00%