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Restructuring - Restructuring Reserve (Details) - USD ($) $ in Millions	12 Months Ended
	Jan. 01, 2023	Jan. 02, 2022	Jan. 03, 2021
Restructuring Reserve [Roll Forward]
Balance at beginning of year	$ 2.9	$ 3.5
Additions charged to reserve	1.7		$ 12.8
Reductions for cash payments related to all restructuring activities	(4.0)	(4.6)
Accrual adjustments	(0.3)
Balance at end of year	0.3	2.9	3.5
Professional & Industrial
Restructuring Reserve [Roll Forward]
Additions charged to reserve	0.3		6.0
Science, Engineering & Technology
Restructuring Reserve [Roll Forward]
Additions charged to reserve			0.6
Education
Restructuring Reserve [Roll Forward]
Additions charged to reserve	0.4		1.0
Outsourcing & Consulting
Restructuring Reserve [Roll Forward]
Additions charged to reserve	0.2		0.3
International
Restructuring Reserve [Roll Forward]
Additions charged to reserve		1.2	1.4
Corporate
Restructuring Reserve [Roll Forward]
Additions charged to reserve	$ 0.8	$ 2.8	$ 3.5

X

- Definition

Amount of cash payments made as the result of exit or disposal activities. Excludes payments associated with a discontinued operation or an asset retirement obligation.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 420
-SubTopic 10
-Section 50
-Paragraph 1
-Subparagraph (b)(2)
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-Publisher FASB
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-Section 45
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- Definition

Amount of expenses associated with exit or disposal activities pursuant to an authorized plan. Excludes expenses related to a discontinued operation or an asset retirement obligation.

+ References

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-Publisher FASB
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- Definition

Carrying amount (including both current and noncurrent portions of the accrual) as of the balance sheet date pertaining to a specified type of cost associated with exit from or disposal of business activities or restructuring pursuant to a duly authorized plan.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 420
-SubTopic 10
-Section 50
-Paragraph 1
-Subparagraph (b)(2)
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- Definition

Amount of expense (reversal of expense) which increases (decreases) the restructuring reserve from an adjustment to a previously accrued restructuring liability.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 420
-SubTopic 10
-Section S99
-Paragraph 2
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- Definition

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