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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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