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Schedule of Finite-Lived Intangible Assets by Major Class (Details) - USD ($) $ in Millions	12 Months Ended
	May 30, 2020	Jun. 01, 2019
Finite-LIved Intangible Assets
Impairment of Long-Lived Assets	$ 26.6
Right of use asset impairment charge	19.3
Right of use assets	193.9	$ 0.0
Gross carrying value	175.1	87.3
Accumulated amortization	62.7	46.2
Finite-Lived Intangible Assets, Net	$ 112.4	41.1
Minimum
Finite-LIved Intangible Assets
Useful Life	5 years
Maximum
Finite-LIved Intangible Assets
Useful Life	20 years
Patent and Trademarks
Finite-LIved Intangible Assets
Gross carrying value	$ 41.7	20.1
Accumulated amortization	14.4	12.5
Finite-Lived Intangible Assets, Net	$ 27.3	7.6
Useful Life	7 years
Customer Relationships
Finite-LIved Intangible Assets
Gross carrying value	$ 118.7	55.2
Accumulated amortization	38.3	27.6
Finite-Lived Intangible Assets, Net	$ 80.4	27.6
Useful Life	7 years
Other
Finite-LIved Intangible Assets
Gross carrying value	$ 14.7	12.0
Accumulated amortization	10.0	6.1
Finite-Lived Intangible Assets, Net	4.7	$ 5.9
Design Within Reach
Finite-LIved Intangible Assets
Asset Group Carrying Value	122.7
Right of use asset impairment charge	19.3
Right of use assets	$ 110.9

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Long Lived Assets [Line Items]

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Useful life of finite-lived intangible assets, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days.

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Accumulated amount of amortization of assets, excluding financial assets and goodwill, lacking physical substance with a finite life.

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Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 350
-SubTopic 30
-Section 50
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Amount before amortization of assets, excluding financial assets and goodwill, lacking physical substance with a finite life.

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Amount after amortization of assets, excluding financial assets and goodwill, lacking physical substance with a finite life.

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The aggregate amount of write-downs for impairments recognized during the period for long lived assets held for use (including those held for disposal by means other than sale).

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Amount of loss from impairment of right-of-use asset from operating lease.

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