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Fair Value Fair Value - Schedule of Redeemable Noncontrolling Interests (Details) - USD ($) $ in Millions	12 Months Ended
	May 30, 2020	Jun. 01, 2019	Jun. 02, 2018
Redeemable Noncontrolling Interest [Line Items]
Redeemable noncontrolling interests	$ 50.4	$ 20.6
Redemption value adjustment	17.8		$ (6.2)
Foreign currency translation adjustments	0.7
HAY
Redeemable Noncontrolling Interest [Line Items]
Redeemable noncontrolling interests	50.4	0.0
Redemption value adjustment	(17.6)
Increase due to HAY acquisition	72.4
Net income attributable to redeemable noncontrolling interests	(5.1)
Herman Miller Consumer Holdings
Redeemable Noncontrolling Interest [Line Items]
Redeemable noncontrolling interests	0.0	20.6	$ 30.5
Purchase of HMCH redeemable noncontrolling interests	(20.4)	(10.1)
Redemption value adjustment	(0.2)	0.0
Exercised options	$ 0.0	$ 0.2
Herman Miller Consumer Holdings
Redeemable Noncontrolling Interest [Line Items]
Noncontrolling Interest, Ownership Percentage by Noncontrolling Owners		5.00%

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