Consolidated Statements of Cash Flows (Unaudited) - USD ($) $ in Millions	3 Months Ended				9 Months Ended		12 Months Ended
	Oct. 01, 2023	Jan. 01, 2023	Oct. 02, 2022	Apr. 03, 2022	Oct. 01, 2023	Oct. 02, 2022	Jan. 01, 2023
Cash flows from operating activities:
Net earnings (loss)	$ 6.6		$ (16.2)		$ 25.0	$ (61.6)
Adjustments to reconcile net earnings (loss) to net cash from operating activities:
Asset impairment charge	0.0		0.0		2.4	0.0
Goodwill impairment charge	0.0	$ 10.3	30.7		0.0	30.7
Deferred income taxes on goodwill impairment charge					0.0	(5.3)
Loss on disposal					0.0	18.7
Depreciation and amortization					25.6	24.7
Operating lease asset amortization					12.4	14.2
Provision for credit losses and sales allowances					1.4	1.7
Stock-based compensation					7.9	5.9
Gain on sale of equity securities					(2.0)	0.0
Loss on investment in Persol Holdings	0.0		0.0		0.0	67.2
Loss on currency translation from liquidation of subsidiary	0.0		0.0		0.0	20.4
Gain on foreign currency remeasurement					0.0	(5.5)
Gain on sale of assets					0.0	(5.3)
Equity in net earnings of PersolKelly Asia Pacific	0.0		0.0	$ (0.8)	0.0	(0.8)
Other, net					0.5	3.5
Changes in operating assets and liabilities, net of acquisition					(39.8)	(220.2)
Net cash from (used in) operating activities					33.4	(111.7)
Cash flows from investing activities:
Capital expenditures					(12.4)	(5.6)
Proceeds from sale of assets					0.0	4.5
Acquisition of company, net of cash received					0.0	(143.1)
Cash disposed from sale of Russia, net of proceeds					0.0	(6.0)
Proceeds from company-owned life insurance					0.0	1.5
Proceeds from sale of Persol Holdings investment					0.0	196.9
Proceeds from sale of equity method investment					0.0	119.5
Proceeds from equity securities					2.0	0.0
Other investing activities					(0.4)	0.0
Net cash (used in) from investing activities					(10.8)	167.7
Cash flows from financing activities:
Net change in short-term borrowings					(0.7)	0.2
Financing lease payments					(1.0)	(1.2)
Dividend payments					(8.3)	(7.7)
Payments of tax withholding for stock awards					(1.7)	(0.9)
Buyback of common shares					(42.2)	(27.2)
Contingent consideration payments					(2.5)	(0.7)
Other financing activities					(0.2)	0.1
Net cash used in financing activities					(56.6)	(37.4)
Effect of exchange rates on cash, cash equivalents and restricted cash					(1.9)	(7.4)
Net change in cash, cash equivalents and restricted cash					(35.9)	11.2
Cash, cash equivalents and restricted cash at beginning of period		130.7		$ 119.5	162.4	119.5	$ 119.5
Cash, cash equivalents and restricted cash at end of period	126.5	$ 162.4	130.7		126.5	130.7	$ 162.4
Cash and cash equivalents	117.2		122.4		117.2	122.4
Restricted cash included in prepaid expenses and other current assets	0.9		0.8		0.9	0.8
Restricted cash included in other assets	$ 8.4		$ 7.5		$ 8.4	$ 7.5