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Summary of Significant Accounting Policies - Narrative (Details) - USD ($)
$ in Millions
12 Months Ended
Jan. 03, 2021
Dec. 29, 2019
Dec. 30, 2018
Accounting Policies [Abstract]      
Fiscal period duration 371 days 364 days 364 days
Advertising expense $ 8.1 $ 9.4 $ 8.7
Short-term Debt [Line Items]      
Accounts payable 536.8 503.6  
Accrued payroll and related taxes 293.0 267.6  
Liability for claims 1.0    
Book overdrafts      
Short-term Debt [Line Items]      
Accounts payable 9.3 5.9  
Accrued payroll and related taxes $ 11.0 $ 21.9  
PersolKelly Pte. Ltd.      
Short-term Debt [Line Items]      
Equity method investment, ownership percentage 49.00%