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Significant Accounting and Reporting Policies - Schedule of Goodwill and Other Indefinite-lived Intangible Assets (Details) - USD ($) $ in Millions	12 Months Ended
	Jun. 03, 2023	May 28, 2022	May 29, 2021	Jul. 19, 2021
Goodwill [Roll Forward]
Goodwill	$ 1,351.7	$ 489.7	$ 471.4
Sale of owned dealer		(0.3)
Foreign currency translation adjustments	(4.5)	(41.2)	18.3
Accumulated impairment losses	(125.5)	(125.5)	(125.5)
Net goodwill	1,221.7	1,226.2	364.2
Indefinite-lived Intangible Assets [Roll Forward]
Beginning balance	501.0	97.6
Foreign currency translation adjustments	(0.6)	(14.6)
Ending balance	480.7	501.0	97.6
Knoll Product
Indefinite-lived Intangible Assets [Roll Forward]
Impairment charges	(19.7)
Trade name
Indefinite-lived Intangible Assets [Roll Forward]
Impairment charges	(19.7)
Americas Contract
Goodwill [Roll Forward]
Goodwill	566.8	197.4	194.1
Sale of owned dealer		(0.3)
Foreign currency translation adjustments	(1.7)	23.7	3.3
Accumulated impairment losses	(36.7)	(36.7)	(36.7)
Net goodwill	528.4	530.1	160.7
International Contract and Specialty
Goodwill [Roll Forward]
Goodwill	304.3	111.2	103.0
Sale of owned dealer		0.0
Foreign currency translation adjustments	(1.3)	(33.7)	8.2
Accumulated impairment losses	0.0	0.0	0.0
Net goodwill	303.0	304.3	111.2
Global Retail
Goodwill [Roll Forward]
Goodwill	480.6	181.1	174.3
Sale of owned dealer		0.0
Foreign currency translation adjustments	(1.5)	(31.2)	6.8
Accumulated impairment losses	(88.8)	(88.8)	(88.8)
Net goodwill	$ 390.3	391.8	$ 92.3
Knoll
Goodwill [Roll Forward]
Acquisition of knoll		903.5
Net goodwill				$ 903.5
Knoll \| Trade name
Indefinite-lived Intangible Assets [Roll Forward]
Acquisition of knoll		418.0
Knoll \| Americas Contract
Goodwill [Roll Forward]
Acquisition of knoll		346.0
Knoll \| International Contract and Specialty
Goodwill [Roll Forward]
Acquisition of knoll		226.8
Knoll \| Global Retail
Goodwill [Roll Forward]
Acquisition of knoll		$ 330.7