Earnings Per Share - Schedule of Calculation of Numerator and Denominator in Earnings Per Share (Details) - USD ($) $ in Millions	3 Months Ended												12 Months Ended
	May 30, 2020	Feb. 29, 2020	Nov. 30, 2019	Aug. 31, 2019	Jun. 01, 2019	Mar. 02, 2019	Dec. 01, 2018	Sep. 01, 2018	Jun. 02, 2018	Mar. 03, 2018	Dec. 02, 2017	Sep. 02, 2017	May 30, 2020	Jun. 01, 2019	Jun. 02, 2018
Numerator:
Numerator for both basic and diluted EPS, Net (loss) earnings attributable to Herman Miller, Inc.	$ (173.7)	$ 37.7	$ 78.6	$ 48.2	$ 46.2	$ 39.2	$ 39.3	$ 35.8	$ 31.8	$ 29.8	$ 33.5	$ 33.1	$ (9.1)	$ 160.5	$ 128.1
Denominator:
Denominator for basic EPS, weighted-average common shares outstanding													58,920,653	59,011,945	59,681,268
Potentially dilutive shares resulting from stock plans													0	369,846	630,037
Denominator for diluted EPS													58,920,653	59,381,791	60,311,305