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Amount of gain (loss) from sale and disposal of integrated set of activities and assets capable of being conducted and managed for purpose of providing return in form of dividend, lower cost, or other economic benefit to investor, owner, member and participant.

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Amount of gain (loss) on sale or disposal of other assets.

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Amount of loss from the write-down of an asset representing the future economic benefits arising from other assets acquired in a business combination that are not individually identified and separately recognized.

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Aggregate revenue less cost of goods and services sold or operating expenses directly attributable to the revenue generation activity.

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Amount of income (loss) from continuing operations before deduction of income tax expense (benefit) and income (loss) attributable to noncontrolling interest, and addition of income (loss) from equity method investments.

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The net result for the period of deducting operating expenses from operating revenues.

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The aggregate total costs related to selling a firm's product and services, as well as all other general and administrative expenses. Direct selling expenses (for example, credit, warranty, and advertising) are expenses that can be directly linked to the sale of specific products. Indirect selling expenses are expenses that cannot be directly linked to the sale of specific products, for example telephone expenses, Internet, and postal charges. General and administrative expenses include salaries of non-sales personnel, rent, utilities, communication, etc.

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Segment Disclosures - Segment Earnings from Operations (Details) - USD ($) $ in Millions	3 Months Ended		12 Months Ended
	Jan. 01, 2023	Oct. 02, 2022	Jan. 01, 2023	Jan. 02, 2022	Jan. 03, 2021
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Gross profit			$ 1,011.8	$ 919.2	$ 827.6
SG&A expenses			(943.5)	(870.6)	(805.6)
Goodwill impairment charge	$ 10.3	$ 30.7	41.0	0.0	147.7
Earnings (loss) from operations			14.8	48.6	(93.6)
Loss on disposal			(18.7)	0.0	0.0
Gain on sale of assets			6.2	0.0	0.0
Gain (loss) on investment in Persol Holdings			(67.2)	121.8	(16.6)
Loss on currency translation from liquidation of subsidiary			(20.4)	0.0	0.0
Other income (expense), net			1.6	15.4	3.4
Earnings (loss) before taxes and equity in net earnings (loss) of affiliate			(71.2)	185.8	(106.8)
Corporate
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Earnings (loss) from operations			(94.0)	(88.1)	(203.8)
Professional & Industrial \| Reporting Segments
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Gross profit			302.5	310.0	330.2
SG&A expenses			(270.5)	(278.6)	(288.6)
Earnings (loss) from operations			32.0	31.4	41.6
Science, Engineering & Technology
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Goodwill impairment charge			0.0	0.0
Science, Engineering & Technology \| Reporting Segments
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Gross profit			297.0	253.9	209.4
SG&A expenses			(214.9)	(180.2)	(134.4)
Earnings (loss) from operations			82.1	73.7	75.0
Education
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Goodwill impairment charge			0.0	0.0
Education \| Reporting Segments
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Gross profit			100.3	65.1	42.2
SG&A expenses			(81.8)	(62.1)	(51.2)
Earnings (loss) from operations			18.5	3.0	(9.0)
Outsourcing & Consulting
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Goodwill impairment charge			41.0
Outsourcing & Consulting \| Reporting Segments
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Gross profit			169.6	141.4	119.8
SG&A expenses			(149.8)	(122.7)	(108.3)
Goodwill impairment charge			(41.0)	0.0	0.0
Earnings (loss) from operations			(21.2)	18.7	11.5
International \| Reporting Segments
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Gross profit			142.4	148.8	126.0
SG&A expenses			(132.5)	(138.9)	(134.9)
Earnings (loss) from operations			$ 9.9	$ 9.9	$ (8.9)