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Restructuring and Integration Expense - Summary of Restructuring Expenses by Segment (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Mar. 04, 2023	Feb. 26, 2022	Mar. 04, 2023	Feb. 26, 2022
Restructuring Cost and Reserve [Line Items]
Restructuring expense	$ 4.6	$ 0.0	$ 19.8	$ 0.0
Americas Contract
Restructuring Cost and Reserve [Line Items]
Restructuring expense	4.4	0.0	17.5	0.0
International Contract & Specialty
Restructuring Cost and Reserve [Line Items]
Restructuring expense	0.0	0.0	0.7	0.0
Retail
Restructuring Cost and Reserve [Line Items]
Restructuring expense	0.2	0.0	1.6	0.0
Knoll Integration
Restructuring Cost and Reserve [Line Items]
Restructuring expense	4.0	5.9	12.7	101.7
Knoll Integration | Corporate
Restructuring Cost and Reserve [Line Items]
Restructuring expense	1.3	5.0	4.3	79.9
Knoll Integration | Americas Contract | Operating Segments
Restructuring Cost and Reserve [Line Items]
Restructuring expense	2.2	0.9	6.2	21.8
Knoll Integration | International Contract & Specialty | Operating Segments
Restructuring Cost and Reserve [Line Items]
Restructuring expense	0.5	0.0	2.0	0.0
Knoll Integration | Retail | Operating Segments
Restructuring Cost and Reserve [Line Items]
Restructuring expense	$ 0.0	$ 0.0	$ 0.2	$ 0.0

X

- 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

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 420
-SubTopic 10
-Section 45
-Paragraph 3
-URI https://asc.fasb.org/extlink&oid=109237686&loc=d3e17752-110868

Reference 2: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 420
-SubTopic 10
-Section S99
-Paragraph 1
-Subparagraph (SAB Topic 5.P.3)
-URI https://asc.fasb.org/extlink&oid=115931487&loc=d3e140864-122747

Reference 3: 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

Reference 4: 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)(1))
-URI https://asc.fasb.org/extlink&oid=115931487&loc=d3e140904-122747

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- Definition

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+ References

No definition available.

+ Details

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