Earnings Per Share (Details) - USD ($) $ in Millions	3 Months Ended				6 Months Ended
	Dec. 02, 2023	Sep. 02, 2023	Dec. 03, 2022	Sep. 03, 2022	Dec. 02, 2023	Dec. 03, 2022
Numerators:
Numerator for both basic and diluted EPS, net earnings attributable to MillerKnoll, Inc.	$ 33.5	$ 16.7	$ 16.0	$ 25.8	$ 50.2	$ 41.8
Denominators:
Denominator for basic EPS, weighted-average common shares outstanding (in shares)	73,655,409		75,370,514		74,573,958	75,458,089
Potentially dilutive shares resulting from stock plans (in shares)	584,884		507,564		503,754	584,551
Denominator for diluted EPS (in shares)	74,240,293		75,878,078		75,077,712	76,042,640
Antidilutive equity awards not included in weighted-average common shares - diluted (in shares)	4,277,783		2,654,297		4,079,832	1,171,951