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Revenue - Disaggregation of Revenues by Service Type (Details) - USD ($)
$ in Millions
12 Months Ended
Jan. 01, 2023
Jan. 02, 2022
Jan. 03, 2021
Disaggregation of Revenue [Line Items]      
Revenue from services $ 4,965.4 $ 4,909.7 $ 4,516.0
Professional & Industrial      
Disaggregation of Revenue [Line Items]      
Revenue from services 1,666.2 1,837.4 1,858.4
Science, Engineering & Technology      
Disaggregation of Revenue [Line Items]      
Revenue from services 1,265.4 1,156.8 1,019.1
Education      
Disaggregation of Revenue [Line Items]      
Revenue from services 636.2 416.5 286.9
Outsourcing & Consulting      
Disaggregation of Revenue [Line Items]      
Revenue from services 468.0 432.1 363.5
International      
Disaggregation of Revenue [Line Items]      
Revenue from services 932.2 1,067.8 988.6
Staffing services | Professional & Industrial      
Disaggregation of Revenue [Line Items]      
Revenue from services 1,228.2 1,402.4 1,423.3
Staffing services | Science, Engineering & Technology      
Disaggregation of Revenue [Line Items]      
Revenue from services 869.0 813.2 751.8
Staffing services | Education      
Disaggregation of Revenue [Line Items]      
Revenue from services 627.8 411.5 286.4
Staffing services | International      
Disaggregation of Revenue [Line Items]      
Revenue from services 892.3 1,032.9 971.8
Permanent Placement | Professional & Industrial      
Disaggregation of Revenue [Line Items]      
Revenue from services 28.9 24.7 9.9
Permanent Placement | Science, Engineering & Technology      
Disaggregation of Revenue [Line Items]      
Revenue from services 29.7 24.4 12.5
Permanent Placement | Education      
Disaggregation of Revenue [Line Items]      
Revenue from services 8.4 5.0 0.5
Permanent Placement | International      
Disaggregation of Revenue [Line Items]      
Revenue from services 22.6 21.3 16.8
Outcome-Based Services | Professional & Industrial      
Disaggregation of Revenue [Line Items]      
Revenue from services 409.1 410.3 425.2
Outcome-Based Services | Science, Engineering & Technology      
Disaggregation of Revenue [Line Items]      
Revenue from services 366.7 319.2 254.8
Talent Solutions | Outsourcing & Consulting      
Disaggregation of Revenue [Line Items]      
Revenue from services 468.0 432.1 363.5
Talent Solutions | International      
Disaggregation of Revenue [Line Items]      
Revenue from services 17.3 13.6 0.0
Intersegment Eliminations      
Disaggregation of Revenue [Line Items]      
Revenue from services $ (2.6) $ (0.9) $ (0.5)