Segment Disclosures - Segment Earnings (loss) From Operations (Details) - USD ($) $ in Millions	3 Months Ended	9 Months Ended
Oct. 02, 2022	Oct. 03, 2021	Oct. 02, 2022	Oct. 03, 2021
Earnings (loss) from Operations
Gross profit	$ 240.6	$ 228.9	$ 761.6	$ 673.2
SG&A expenses	(231.1)	(219.9)	(707.3)	(639.9)
Goodwill impairment charge	(30.7)	0.0	(30.7)	0.0
Earnings (loss) from operations	(21.4)	9.0	10.2	33.3
Loss on disposal			(18.7)	0.0
Gain on sale of assets			5.3	0.0
Gain (loss) on investment in Persol Holdings	0.0	35.5	(67.2)	71.8
Loss on currency translation from liquidation of subsidiary	0.0	0.0	(20.4)	0.0
Other income (expense), net	0.2	(0.3)	1.9	(4.0)
Earnings (loss) before taxes and equity in net earnings (loss) of affiliate	(21.2)	44.2	(75.5)	101.1
Reporting Segments
Earnings (loss) from Operations
Loss on disposal	(0.2)	0.0	(18.7)	0.0
Gain on sale of assets	0.0	0.0	5.3	0.0
Corporate
Earnings (loss) from Operations
Earnings (loss) from operations	(21.9)	(19.9)	(70.4)	(63.2)
Professional & Industrial \| Reporting Segments
Earnings (loss) from Operations
Gross profit	70.3	76.6	231.2	227.7
SG&A expenses	(65.3)	(69.4)	(204.1)	(207.8)
Earnings (loss) from operations	5.0	7.2	27.1	19.9
Science, Engineering & Technology
Earnings (loss) from Operations
Goodwill impairment charge			0.0
Science, Engineering & Technology \| Reporting Segments
Earnings (loss) from Operations
Gross profit	76.3	68.1	225.3	187.8
SG&A expenses	(53.4)	(48.4)	(161.4)	(131.0)
Earnings (loss) from operations	22.9	19.7	63.9	56.8
Education
Earnings (loss) from Operations
Goodwill impairment charge			0.0
Education \| Reporting Segments
Earnings (loss) from Operations
Gross profit	16.6	10.0	69.2	44.0
SG&A expenses	(21.4)	(17.0)	(60.4)	(46.5)
Earnings (loss) from operations	(4.8)	(7.0)	8.8	(2.5)
Outsourcing & Consulting \| Reporting Segments
Earnings (loss) from Operations
Gross profit	44.1	37.3	127.6	103.4
SG&A expenses	(37.7)	(30.7)	(111.8)	(89.2)
Goodwill impairment charge	(30.7)	0.0	(30.7)	0.0
Earnings (loss) from operations	(24.3)	6.6	(14.9)	14.2
International \| Reporting Segments
Earnings (loss) from Operations
Gross profit	33.3	36.9	108.3	110.3
SG&A expenses	(31.4)	(34.5)	(99.2)	(102.2)
Earnings (loss) from operations	$ 1.9	$ 2.4	$ 9.1	$ 8.1

Cumulative Translation Adjustment Gain (Loss)

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