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Segment Disclosures - Segment Earnings (loss) From Operations (Details) - USD ($)
$ in Millions
 3 Months Ended 9 Months Ended
Oct. 01, 2023
Jan. 01, 2023
Oct. 02, 2022
Oct. 01, 2023
Oct. 02, 2022
Earnings (loss) from Operations          
Gross profit $ 228.5   $ 240.6 $ 723.2 $ 761.6
SG&A expenses (228.4)   (231.1) (703.8) (707.3)
Goodwill impairment charge 0.0 $ 10.3 30.7 0.0 30.7
Earnings (loss) from operations 0.1   (21.4) 17.0 10.2
Loss on disposal 0.0   (0.2) 0.0 (18.7)
Gain on sale of assets       0.0 5.3
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)
Other income (expense), net 1.6   0.2 3.0 1.9
Earnings (loss) before taxes and equity in net earnings of affiliate 1.7   (21.2) 20.0 (75.5)
Reporting Segments          
Earnings (loss) from Operations          
Loss on disposal 0.0   0.2 0.0 18.7
Gain on sale of assets 0.0   0.0 0.0 5.3
Corporate          
Earnings (loss) from Operations          
Earnings (loss) from operations (30.3)   (21.9) (86.7) (70.4)
Professional & Industrial | Reporting Segments          
Earnings (loss) from Operations          
Gross profit 65.5   70.3 200.4 231.2
SG&A expenses (57.7)   (65.3) (183.8) (204.1)
Asset impairment charge 0.0   0.0 (0.3) 0.0
Earnings (loss) from operations 7.8   5.0 16.3 27.1
Science, Engineering & Technology | Reporting Segments          
Earnings (loss) from Operations          
Gross profit 68.0   76.3 207.4 225.3
SG&A expenses (47.8)   (53.4) (150.6) (161.4)
Asset impairment charge 0.0   0.0 (0.1) 0.0
Earnings (loss) from operations 20.2   22.9 56.7 63.9
Education | Reporting Segments          
Earnings (loss) from Operations          
Gross profit 19.8   16.6 91.6 69.2
SG&A expenses (22.4)   (21.4) (69.3) (60.4)
Earnings (loss) from operations (2.6)   (4.8) 22.3 8.8
Outsourcing & Consulting | Reporting Segments          
Earnings (loss) from Operations          
Gross profit 41.5   44.1 124.4 127.6
SG&A expenses (39.0)   (37.7) (117.2) (111.8)
Asset impairment charge 0.0   0.0 (2.0) 0.0
Goodwill impairment charge 0.0   30.7 0.0 30.7
Earnings (loss) from operations 2.5   (24.3) 5.2 (14.9)
International | Reporting Segments          
Earnings (loss) from Operations          
Gross profit 33.7   33.3 99.4 108.3
SG&A expenses (31.2)   (31.4) (96.2) (99.2)
Earnings (loss) from operations $ 2.5   $ 1.9 $ 3.2 $ 9.1