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Fair Value Measurements - Narrative (Details) - USD ($) $ in Millions |  | 3 Months Ended | 12 Months Ended |  |  |  |  |  |
--- | --- | --- | --- | --- | --- | --- | --- | --- | ---
Feb. 15, 2022 | Jan. 01, 2023 | Oct. 02, 2022 | Apr. 03, 2022 | Oct. 03, 2021 | Jul. 04, 2021 | Apr. 04, 2021 | Jan. 01, 2023 | Jan. 02, 2022 | Jan. 03, 2021 | Mar. 07, 2022 | Feb. 14, 2022 | Mar. 08, 2021 | Nov. 18, 2020 | Aug. 18, 2020 | Jan. 14, 2020
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Payment for contingent consideration liability, financing activities |  |  |  |  |  |  |  | $ 3.3 | $ 1.6 | $ 0.0 |  |  |  |  |  |
Equity securities, FV-NI and without readily determinable fair value |  | $ 6.4 |  |  |  |  |  | 6.4 |  |  |  |  |  |  |  |
Proceeds from sale of Persol Holdings investment |  |  |  |  |  |  |  | 196.9 | 0.0 | 0.0 |  |  |  |  |  |
Goodwill impairment charge |  | $ 10.3 | $ 30.7 |  |  |  |  | $ 41.0 | 0.0 | 147.7 |  |  |  |  |  |
PersolKelly Pte. Ltd. |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Noncontrolling Interest, Ownership Percentage by Noncontrolling Owners |  | 2.50% |  |  |  |  |  | 2.50% |  |  |  |  |  |  |  |
PersolKelly Pte. Ltd. |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Equity securities, FV-NI and without readily determinable fair value |  | $ 6.4 |  |  |  |  |  | $ 6.4 |  |  |  |  |  |  |  |
Brazil |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Disposition, increase (decrease) to indemnification liabilities |  |  |  |  |  |  |  | 0.8 |  |  |  |  |  |  |  |
Disposition, indemnification liabilities, expense |  |  |  |  |  |  |  | 0.2 |  |  |  |  |  |  |  |
Brazil | Maximum |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Disposition, indemnification liabilities |  | 8.8 |  |  |  |  |  | 8.8 |  |  |  |  |  |  |  |
Brazil |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Indemnification liability |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 2.5 |
Greenwood/Asher |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Contingent consideration, liability |  | 3.3 |  |  |  |  |  | 3.3 |  |  |  |  |  | $ 2.1 |  |
Payment for contingent consideration liability |  |  |  | $ 2.3 |  |  |  |  |  |  |  |  |  |  |  |
Payment for contingent consideration liability, financing activities |  |  |  | 0.7 |  |  |  |  |  |  |  |  |  |  |  |
Expense related to earnout liability |  |  |  |  |  |  |  | 1.0 | 2.5 |  |  |  |  |  |  |
Insight |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Contingent consideration, liability |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | $ 1.6
Payment for contingent consideration liability |  |  |  |  | $ 1.8 |  |  |  |  |  |  |  |  |  |  |
Payment for contingent consideration liability, financing activities |  |  |  |  |  |  |  |  | 1.6 |  |  |  |  |  |  |
Expense related to earnout liability |  |  |  |  |  |  |  |  | 0.1 | 0.1 |  |  |  |  |  |
RocketPower |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Contingent consideration, liability |  |  |  |  |  |  |  |  |  |  | $ 0.6 |  |  |  |  |
Possible future contingent consideration |  |  |  |  |  |  |  |  |  |  | 31.8 |  |  |  |  |
Goodwill impairment charge |  |  |  |  |  |  |  | 41.0 |  |  |  |  |  |  |  |
Persol Holdings Investment |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Cost of equity securities |  |  |  |  |  |  |  |  | $ 18.0 |  |  |  |  |  |  |
Proceeds from sale of Persol Holdings investment | $ 196.9 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Business Talent Group, LLC |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Proceeds from sale of Persol Holdings investment |  |  |  |  |  | $ 5.0 |  |  |  |  |  |  |  |  |  |
Kenzie Academy Inc. |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Equity securities, FV-NI and without readily determinable fair value |  |  |  |  |  |  |  |  |  |  |  |  | $ 1.4 |  |  |
Debt and equity securities, realized gain (loss) |  |  |  |  |  |  | $ (1.4) |  |  |  |  |  |  |  |  |
PersolKelly Pte. Ltd. |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Equity method investment, ownership percentage |  |  |  |  |  |  |  |  | 49.00% |  |  | 49.00% |  |  |  |
Equity securities, FV-NI and without readily determinable fair value |  | 6.4 |  |  |  |  |  | 6.4 |  |  |  |  |  |  |  |
Other Assets |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Money market funds |  | 8.6 |  |  |  |  |  | 8.6 | $ 6.5 |  |  |  |  |  |  |
Level 3 | Brazil |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Disposition, indemnification liabilities |  | 3.4 |  |  |  |  |  | 3.4 | 2.4 |  |  |  |  |  |  |
Level 3 | Greenwood/Asher |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Contingent consideration, liability |  | 3.3 |  |  |  |  |  | 3.3 | 4.6 |  |  |  |  |  |  |
Payment for contingent consideration liability |  |  |  | $ 2.3 |  |  |  |  |  |  |  |  |  |  |  |
Level 3 | Insight |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Contingent consideration, liability |  |  |  |  |  |  |  |  |  | $ 1.7 |  |  |  |  |  |
Level 3 | RocketPower |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Contingent consideration, liability |  | 0.0 |  |  |  |  |  | 0.0 |  |  | 0.6 |  |  |  |  |
Level 3 | Other Long Term Liabilities | Brazil |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Disposition, indemnification liabilities |  | 3.1 |  |  |  |  |  | 3.1 |  |  |  |  |  |  |  |
Level 3 | Other Long Term Liabilities | Greenwood/Asher |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Contingent consideration, liability |  |  |  |  |  |  |  |  | 2.3 |  |  |  |  |  |  |
Level 3 | Other Long Term Liabilities | RocketPower |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Contingent consideration, liability |  |  |  |  |  |  |  |  |  |  | 0.1 |  |  |  |  |
Possible future contingent consideration |  | 31.8 |  |  |  |  |  | 31.8 |  |  |  |  |  |  |  |
Level 3 | Accounts Payable and Accrued Liabilities | Brazil |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Disposition, indemnification liabilities |  | $ 0.3 |  |  |  |  |  | $ 0.3 |  |  |  |  |  |  |  |
Level 3 | Accounts Payable and Accrued Liabilities | Greenwood/Asher |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Contingent consideration, liability |  |  |  |  |  |  |  |  | $ 2.3 |  |  |  |  |  |  |
Level 3 | Accounts Payable and Accrued Liabilities | RocketPower |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Contingent consideration, liability |  |  |  |  |  |  |  |  |  |  | $ 0.5 |  |  |  |  |

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