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Stockholders' Equity - Changes in Accumulated Other Comprehensive Income by Component, Net of Tax (Details) - USD ($)
$ in Millions
 12 Months Ended
Mar. 01, 2022
Dec. 31, 2023
Jan. 01, 2023
Jan. 02, 2022
Accumulated Other Comprehensive Income (Loss), Net of Tax [Roll Forward]        
Balance at beginning of year   $ 1,254.2 $ 1,336.2  
Balance at end of year   1,253.7 1,254.2 $ 1,336.2
Other Expense        
Accumulated Other Comprehensive Income (Loss), Net of Tax [Roll Forward]        
Amounts reclassified from accumulated other comprehensive income (loss)   (1.4)    
Gain (Loss) on Disposal of Assets        
Accumulated Other Comprehensive Income (Loss), Net of Tax [Roll Forward]        
Amounts reclassified from accumulated other comprehensive income (loss)   1.4    
PersolKelly Pte. Ltd.        
Accumulated Other Comprehensive Income (Loss), Net of Tax [Roll Forward]        
Amounts reclassified from accumulated other comprehensive income (loss) $ 1.9      
Foreign currency translation adjustments:        
Accumulated Other Comprehensive Income (Loss), Net of Tax [Roll Forward]        
Balance at beginning of year   (7.4) (25.0) (0.8)
Other comprehensive income (loss) before classifications   8.0 (7.5) (24.2)
Net current-period other comprehensive income (loss)   8.0 17.6 (24.2)
Balance at end of year   0.6 (7.4) (25.0)
Foreign currency translation adjustments: | Liquidation of Subsidiary        
Accumulated Other Comprehensive Income (Loss), Net of Tax [Roll Forward]        
Amounts reclassified from accumulated other comprehensive income (loss)   0.0 20.4 0.0
Foreign currency translation adjustments: | Equity Method Investment        
Accumulated Other Comprehensive Income (Loss), Net of Tax [Roll Forward]        
Amounts reclassified from accumulated other comprehensive income (loss)   0.0 4.7 0.0
Foreign currency translation adjustments: | PersolKelly Pte. Ltd. | Other Expense        
Accumulated Other Comprehensive Income (Loss), Net of Tax [Roll Forward]        
Amounts reclassified from accumulated other comprehensive income (loss)   (1.9)    
Pension liability adjustments:        
Accumulated Other Comprehensive Income (Loss), Net of Tax [Roll Forward]        
Balance at beginning of year   (1.1) (2.7) (3.4)
Other comprehensive income (loss) before classifications   0.6 1.5 0.5
Amounts reclassified from accumulated other comprehensive income (loss)   0.1 0.1 0.2
Net current-period other comprehensive income (loss)   0.7 1.6 0.7
Balance at end of year   (0.4) (1.1) (2.7)
Accumulated Other Comprehensive Income (Loss)        
Accumulated Other Comprehensive Income (Loss), Net of Tax [Roll Forward]        
Balance at beginning of year   (8.5) (27.7) (4.2)
Balance at end of year   $ 0.2 $ (8.5) $ (27.7)