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Subsequent Events - Narrative (Details) - USD ($) $ in Millions |  |  | 2 Months Ended | 12 Months Ended |
--- | --- | --- | --- | --- | ---
Feb. 15, 2022 | Feb. 14, 2022 | Feb. 15, 2022 | Jan. 02, 2022 | Jan. 03, 2021 | Dec. 29, 2019 | Dec. 31, 2006
Subsequent Event [Line Items] |  |  |  |  |  |  |
Investment in equity affiliate |  |  |  | $ 123.4 | $ 118.5 |  |
Deferred tax liabilities |  |  |  | 71.6 | 39.7 |  |
Equity in net earnings (loss) of affiliate |  |  |  | 5.4 | 0.8 | $ (3.6) |
(Gain) loss on investment in Persol Holdings |  |  |  | (121.8) | 16.6 | $ (35.8) |
Investment in Persol Holdings |  |  |  | 264.3 | 164.2 |  |
Proceeds from (investment in) equity securities |  |  |  | 5.0 |  |  |
Persol Holdings Investment |  |  |  |  |  |  |
Subsequent Event [Line Items] |  |  |  |  |  |  |
Deferred tax liabilities |  |  |  | 70.9 |  |  |
Cost of equity securities |  |  |  | 18.0 | $ 20.1 |  | $ 33.9
Investment in Persol Holdings |  |  |  | 264.3 |  |  |
PersolKelly Pte. Ltd. |  |  |  |  |  |  |
Subsequent Event [Line Items] |  |  |  |  |  |  |
Investment in equity affiliate |  |  |  | 123.4 |  |  |
Deferred tax liabilities |  |  |  | $ 13.3 |  |  |
Equity method investment, ownership percentage |  |  |  | 49.00% | 49.00% |  |
Subsequent Event | Persol Holdings Investment |  |  |  |  |  |  |
Subsequent Event [Line Items] |  |  |  |  |  |  |
Stock repurchased during period, value |  | $ 27.2 |  |  |  |  |
(Gain) loss on investment in Persol Holdings |  |  | $ 52.4 |  |  |  |
Debt and equity securities, realized gain (loss) |  |  | $ (46.5) |  |  |  |
Proceeds from (investment in) equity securities | $ 197.4 |  |  |  |  |  |
Subsequent Event | Persol Holdings Investment | Class A common stock |  |  |  |  |  |  |
Subsequent Event [Line Items] |  |  |  |  |  |  |
Stock repurchased during period, shares |  | 1,576,169 |  |  |  |  |
Subsequent Event | Persol Holdings Investment | Class B common stock |  |  |  |  |  |  |
Subsequent Event [Line Items] |  |  |  |  |  |  |
Stock repurchased during period, shares |  | 1,475 |  |  |  |  |
Subsequent Event | PersolKelly Pte. Ltd. |  |  |  |  |  |  |
Subsequent Event [Line Items] |  |  |  |  |  |  |
Equity method investment, amount sold, percentage |  | 95.00% |  |  |  |  |
Equity method investment, amount sold |  | $ 119.5 |  |  |  |  |
Equity method investment, ownership percentage |  | 2.50% |  |  |  |  |

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