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Investment in Persol Holdings - Narrative (Details) - USD ($) $ in Millions |  |  | 2 Months Ended | 3 Months Ended | 12 Months Ended
--- | --- | --- | --- | --- | ---
Feb. 15, 2022 | Feb. 14, 2022 | Feb. 15, 2022 | Apr. 03, 2022 | Jan. 01, 2023 | Jan. 02, 2022 | Jan. 03, 2021
Schedule of Investments [Line Items] |  |  |  |  |  |  |
Stock repurchased during period, amount in excess of par value |  | $ 25.6 |  |  |  |  |
Proceeds from sale of Persol Holdings investment |  |  |  |  | $ 196.9 | $ 0.0 | $ 0.0
Gain (loss) on investment in Persol Holdings |  |  |  |  | (67.2) | 121.8 | (16.6)
Equity securities gain (loss) |  |  | $ (52.4) |  |  | 121.8 | (16.6)
Loss on currency translation from liquidation of subsidiary |  |  |  |  | (20.4) | 0.0 | 0.0
Gain on foreign currency remeasurement |  |  |  |  | 5.5 | $ 0.0 | $ 0.0
Persol Holdings Investment |  |  |  |  |  |  |
Schedule of Investments [Line Items] |  |  |  |  |  |  |
Stock Repurchased and Retired During Period, Value |  | $ 27.2 |  |  |  |  |
Proceeds from sale of Persol Holdings investment | $ 196.9 |  |  |  |  |  |
Gain (loss) on investment in Persol Holdings |  |  |  | $ (67.2) |  |  |
Equity securities gain (loss) | $ (14.8) |  |  |  |  |  |
Persol Holdings Investment | Class A common stock |  |  |  |  |  |  |
Schedule of Investments [Line Items] |  |  |  |  |  |  |
Stock repurchased during period, shares |  | 1,576,169 |  |  |  |  |
Persol Holdings Investment | Class B common stock |  |  |  |  |  |  |
Schedule of Investments [Line Items] |  |  |  |  |  |  |
Stock repurchased during period, shares |  | 1,475 |  |  |  |  |
Kelly Services Japan, Inc. |  |  |  |  |  |  |
Schedule of Investments [Line Items] |  |  |  |  |  |  |
Loss on currency translation from liquidation of subsidiary |  |  |  | (20.4) |  |  |
Gain on foreign currency remeasurement |  |  |  | $ 5.5 | $ 5.5 |  |

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