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Acquisitions and Disposition - Disposition Narrative (Details) - USD ($) $ in Millions |  | 3 Months Ended | 12 Months Ended
--- | --- | --- | ---
Jul. 20, 2022 | Oct. 02, 2022 | Jul. 03, 2022 | Dec. 31, 2023 | Jan. 01, 2023 | Jan. 02, 2022
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items] |  |  |  |  |  |
Cash disposed from sale of Russia, net of proceeds |  |  |  | $ 0.0 | $ 6.0 | $ 0.0
Loss on disposal |  |  |  | $ 0.0 | 18.7 | 0.0
Russian Operations | Disposal Group, Not Discontinued Operations |  |  |  |  |  |
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items] |  |  |  |  |  |
Proceeds from investment in PersolKelly Asia Pacific equity affiliate | $ 7.4 |  |  |  |  |
Cash disposed from sale of Russia, net of proceeds | $ 6.0 |  |  |  |  |
Disposal Group, Not Discontinued Operation, Loss (Gain) on Write-down |  |  | $ 18.5 |  |  |
Loss on disposal |  | $ 0.2 |  |  | 18.7 |
Loss on disposal, cumulative translation adjustment |  |  |  |  | 1.4 |
Disposal group, including discontinued operation, revenue |  |  |  |  | 63.4 | 132.2
Discontinued operation, income (loss) from discontinued operation during phase-out period, before income tax, attributable to parent |  |  |  |  | $ 1.4 | $ 3.2

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