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Revenue - Disaggregation of Revenues by Service Type (Details) - USD ($) $ in Millions | 12 Months Ended
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Jan. 02, 2022 | Jan. 03, 2021 | Dec. 29, 2019
Disaggregation of Revenue [Line Items] |  |  |
Revenue from services | $ 4,909.7 | $ 4,516.0 | $ 5,355.6
Professional & Industrial |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Revenue from services | 1,837.4 | 1,858.4 | 2,213.4
Science, Engineering & Technology |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Revenue from services | 1,156.8 | 1,019.1 | 1,131.8
Education |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Revenue from services | 416.5 | 286.9 | 450.7
Outsourcing & Consulting |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Revenue from services | 432.1 | 363.5 | 377.7
International |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Revenue from services | 1,067.8 | 988.6 | 1,182.5
Staffing services | Professional & Industrial |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Revenue from services | 1,402.4 | 1,423.3 | 1,838.6
Staffing services | Science, Engineering & Technology |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Revenue from services | 813.2 | 751.8 | 848.2
Staffing services | Education |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Revenue from services | 411.5 | 286.4 | 449.8
Staffing services | International |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Revenue from services | 1,032.9 | 971.8 | 1,156.8
Permanent Placement | Professional & Industrial |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Revenue from services | 24.7 | 9.9 | 17.9
Permanent Placement | Science, Engineering & Technology |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Revenue from services | 24.4 | 12.5 | 15.7
Permanent Placement | Education |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Revenue from services | 5.0 | 0.5 | 0.9
Permanent Placement | International |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Revenue from services | 21.3 | 16.8 | 25.7
Outcome-Based Services | Professional & Industrial |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Revenue from services | 410.3 | 425.2 | 356.9
Outcome-Based Services | Science, Engineering & Technology |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Revenue from services | 319.2 | 254.8 | 267.9
Talent Solutions | Outsourcing & Consulting |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Revenue from services | 432.1 | 363.5 | 377.7
Talent Solutions | International |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Revenue from services | 13.6 | 0.0 | 0.0
Intersegment Eliminations |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Revenue from services | $ (0.9) | $ (0.5) | $ (0.5)

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