Earnings Per Share (Details) - USD ($) $ / shares in Units, $ in Millions	3 Months Ended						9 Months Ended
	Mar. 02, 2024	Dec. 02, 2023	Sep. 02, 2023	Mar. 04, 2023	Dec. 03, 2022	Sep. 03, 2022	Mar. 02, 2024	Mar. 04, 2023
Numerator:
Net earnings attributable to MillerKnoll, Inc.	$ 22.2	$ 33.5	$ 16.7	$ 0.4	$ 16.0	$ 25.8	$ 72.4	$ 42.2
Denominator:
Weighted-average common shares outstanding (in shares)	72,720,734			75,463,071			73,952,015	75,442,780
Potentially dilutive shares resulting from stock plans (in shares)	1,426,092			603,144			664,376	593,364
Weighted-average common shares outstanding - diluted (in shares)	74,146,826			76,066,215			74,616,391	76,036,144
Earnings per share attributable to MillerKnoll, Inc. - basic (in dollar per share)	$ 0.31			$ 0.01			$ 0.98	$ 0.56
Earnings per share attributable to MillerKnoll, Inc. - diluted (in dollar per share)	$ 0.30			$ 0.01			$ 0.97	$ 0.56
Antidilutive equity awards not included in weighted-average common shares - diluted (in shares)	918,423			2,562,710			3,867,589	1,161,186