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Fair Value Measurements - Narrative (Details) - USD ($)
$ in Millions
 3 Months Ended 9 Months Ended 12 Months Ended
Oct. 01, 2023
Jul. 02, 2023
Apr. 02, 2023
Jan. 01, 2023
Oct. 02, 2022
Jul. 03, 2022
Apr. 03, 2022
Oct. 01, 2023
Oct. 02, 2022
Jan. 01, 2023
Mar. 07, 2022
Feb. 14, 2022
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]                        
Payment for contingent consideration liability, financing activities               $ 2.5 $ 0.7      
Equity securities without readily determinable fair value, with changes in fair value in net income $ 6.4             6.4        
Goodwill impairment charge 0.0     $ 10.3 $ 30.7     0.0 30.7      
Brazil                        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]                        
Disposition, indemnification liabilities, payment to settle claims   $ 0.6                    
Indemnification liabilities, expense (income)               0.1 0.1      
Brazil | Maximum                        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]                        
Indemnification liability $ 8.8             $ 8.8        
Greenwood/Asher                        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]                        
Indemnification liabilities, expense (income)           $ 0.7            
Payment for contingent consideration liability, financing activities     $ 1.4       $ 0.7          
RocketPower                        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]                        
Contingent consideration                     $ 0.6  
Contingent consideration, maximum                     $ 31.8  
Goodwill impairment charge                   $ 41.0    
PersolKelly Pte. Ltd.                        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]                        
Equity method investment, ownership percentage 2.50%             2.50%       49.00%
Equity securities without readily determinable fair value, with changes in fair value in net income $ 6.4             $ 6.4        
Other Assets                        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]                        
Money market funds 8.3     8.6       8.3   8.6    
Level 3 | Brazil                        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]                        
Indemnification liability 2.9     3.4       2.9   3.4    
Level 3 | Greenwood/Asher                        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]                        
Contingent consideration 0.0             0.0        
Payment for contingent consideration liability     $ 3.3       $ 2.3          
Level 3 | RocketPower                        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]                        
Contingent consideration 0.0       $ 0.0 0.6   0.0 $ 0.0      
Contingent consideration, maximum 12.9             12.9        
Level 3 | Accounts Payable and Accrued Liabilities | Brazil                        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]                        
Indemnification liability 0.1     0.3       0.1   0.3    
Level 3 | Accounts Payable and Accrued Liabilities | Greenwood/Asher                        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]                        
Contingent consideration       3.3           3.3    
Level 3 | Accounts Payable and Accrued Liabilities | RocketPower                        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]                        
Contingent consideration           0.5            
Level 3 | Other Long Term Liabilities | Brazil                        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]                        
Indemnification liability $ 2.8     $ 3.1       $ 2.8   $ 3.1    
Level 3 | Other Long Term Liabilities | RocketPower                        
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]                        
Contingent consideration           $ 0.1