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Restructuring and Impairment (Details) - USD ($) $ in Millions	12 Months Ended
	Dec. 31, 2022	Jan. 01, 2022	Jan. 02, 2021
Restructuring Cost and Reserve [Line Items]
Restructuring costs	$ 15.5	$ 14.0	$ 38.8
Restructuring reserve	0.5	0.5
Inventory valuation | Workplace Furnishings
Restructuring Cost and Reserve [Line Items]
Restructuring costs	8.1	7.4	0.0
Facility set-up costs | Workplace Furnishings
Restructuring Cost and Reserve [Line Items]
Restructuring costs	0.7	0.2	0.0
Long-lived asset disposal and impairment | Workplace Furnishings
Restructuring Cost and Reserve [Line Items]
Restructuring costs	5.2	0.0	0.0
Severance | Workplace Furnishings
Restructuring Cost and Reserve [Line Items]
Restructuring costs	0.5	0.2	0.0
Severance | General Corporate
Restructuring Cost and Reserve [Line Items]
Restructuring costs	0.0	0.3	0.0
Goodwill and intangible asset impairment | Workplace Furnishings
Restructuring Cost and Reserve [Line Items]
Restructuring costs	0.0	5.8	38.8
Investment impairment | General Corporate
Restructuring Cost and Reserve [Line Items]
Restructuring costs	$ 1.0	$ 0.0	$ 0.0

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Amount, after cash payment, 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

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 230
-SubTopic 10
-Section 45
-Paragraph 28
-Subparagraph (b)
-URI https://asc.fasb.org/extlink&oid=126954810&loc=d3e3602-108585

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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)
-URI https://asc.fasb.org/extlink&oid=6394359&loc=d3e17939-110869

Reference 2: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 420
-SubTopic 10
-Section S99
-Paragraph 2
-Subparagraph (SAB TOPIC 5.P.4(b)(2))
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