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Redeemable Noncontrolling Interests (Details) - USD ($) $ in Millions	3 Months Ended			9 Months Ended
	Mar. 03, 2018	Dec. 02, 2017	Sep. 02, 2017	Mar. 02, 2019	Mar. 03, 2018
Redeemable Noncontrolling Interest [Line Items]
Redeemable Noncontrolling Interests, Beginning				$ 30.5
Redemption value adjustment	$ (0.4)	$ (0.3)	$ 0.2
Redeemable Noncontrolling Interests, Ending				20.7
Herman Miller Consumer Holdings
Redeemable Noncontrolling Interest [Line Items]
Redeemable Noncontrolling Interests, Beginning			$ 24.6	30.5	$ 24.6
Purchase of redeemable noncontrolling interests				10.1	1.0
Net income attributable to redeemable noncontrolling interests				0.1	0.2
Exercised options				0.2	0.0
Redemption value adjustment				0.0	0.5
Redeemable Noncontrolling Interests, Ending	$ 24.3			$ 20.7	$ 24.3

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Redeemable Noncontrolling Interests, Increase from Subsidiary Equity Issuance

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Change in noncontrolling interest during the period as a result of a change in the redemption value of redeemable noncontrolling interest.

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Decrease in noncontrolling interest (for example, but not limited to, redeeming or purchasing the interests of noncontrolling shareholders, issuance of shares (interests) by the non-wholly owned subsidiary to the parent entity for other than cash, and a buyback of shares (interest) by the non-wholly owned subsidiary from the noncontrolling interests).

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Amount of Net Income (Loss) attributable to redeemable noncontrolling interest.

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As of the reporting date, the aggregate carrying amount of all noncontrolling interests which are redeemable by the (parent) entity (1) at a fixed or determinable price on a fixed or determinable date, (2) at the option of the holder of the noncontrolling interest, or (3) upon occurrence of an event that is not solely within the control of the (parent) entity. This item includes noncontrolling interest holder's ownership (or holders' ownership) regardless of the type of equity interest (common, preferred, other) including all potential organizational (legal) forms of the investee entity.

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Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

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