Consolidated Statements of Earnings - USD ($) shares in Millions, $ in Millions	12 Months Ended
	Jan. 02, 2022	Jan. 03, 2021	Dec. 29, 2019
Income Statement [Abstract]
Revenue from services	$ 4,909.7	$ 4,516.0	$ 5,355.6
Cost of services	3,990.5	3,688.4	4,387.2
Gross profit	919.2	827.6	968.4
Selling, general and administrative expenses	870.6	805.6	883.1
Goodwill impairment charge	0.0	147.7	0.0
Gain on sale of assets	0.0	(32.1)	(12.3)
Asset impairment charge	0.0	0.0	15.8
Earnings (loss) from operations	48.6	(93.6)	81.8
Gain (loss) on investment in Persol Holdings	121.8	(16.6)	35.8
Gain on insurance settlement	19.0	0.0	0.0
Other income (expense), net	(3.6)	3.4	(1.2)
Earnings (loss) before taxes and equity in net earnings (loss) of affiliate	185.8	(106.8)	116.4
Income tax expense (benefit)	35.1	(34.0)	0.4
Net earnings before equity in net earnings (loss) of affiliate	150.7	(72.8)	116.0
Equity in net earnings (loss) of affiliate	5.4	0.8	(3.6)
Net earnings (loss)	$ 156.1	$ (72.0)	$ 112.4
Basic earnings per share (in dollars per share)	$ 3.93	$ (1.83)	$ 2.85
Diluted earnings per share (in dollars per share)	$ 3.91	$ (1.83)	$ 2.84
Average shares outstanding (millions):
Basic (in shares)	39.4	39.3	39.1
Diluted (in shares)	39.5	39.3	39.2