Condensed Consolidated Statements of Comprehensive Income - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	Dec. 02, 2023	Dec. 03, 2022	Dec. 02, 2023	Dec. 03, 2022
Income Statement [Abstract]
Net sales	$ 949.5	$ 1,066.9	$ 1,867.2	$ 2,145.7
Cost of sales	577.5	699.3	1,137.1	1,406.0
Gross margin	372.0	367.6	730.1	739.7
Operating expenses:
Selling, general and administrative	287.6	290.8	578.1	587.7
Restructuring expense	1.8	14.7	7.0	15.2
Design and research	22.2	23.4	44.3	47.3
Total operating expenses	311.6	328.9	629.4	650.2
Operating earnings	60.4	38.7	100.7	89.5
Interest expense	19.8	18.3	39.0	35.0
Interest and other investment (income) expense	(1.3)	(0.7)	(3.5)	(1.1)
Other (income) expense, net	(2.4)	(0.5)	(0.2)	0.3
Earnings before income taxes and equity income	44.3	21.6	65.4	55.3
Income tax expense	9.5	4.3	14.6	10.6
Equity (loss) income from nonconsolidated affiliates, net of tax	(0.4)	0.2	(0.3)	0.2
Net earnings	34.4	17.5	50.5	44.9
Net earnings attributable to redeemable noncontrolling interests	0.9	1.5	0.3	3.1
Net earnings attributable to MillerKnoll, Inc.	$ 33.5	$ 16.0	$ 50.2	$ 41.8
Earnings per share - basic (in dollar per share)	$ 0.45	$ 0.21	$ 0.67	$ 0.55
Earnings per share - diluted (in dollar per share)	$ 0.45	$ 0.21	$ 0.67	$ 0.55
Other comprehensive (loss) income, net of tax
Foreign currency translation adjustments	$ 7.3	$ 44.2	$ 11.2	$ (28.3)
Pension and post-retirement liability adjustments	0.0	0.4	(0.1)	0.8
Unrealized (loss) gain on interest rate swap agreement	(7.9)	7.2	(0.1)	21.5
Other comprehensive (loss) income, net of tax	(0.6)	51.8	11.0	(6.0)
Comprehensive income	33.8	69.3	61.5	38.9
Comprehensive income attributable to redeemable noncontrolling interests	0.9	1.4	0.3	3.1
Comprehensive income attributable to MillerKnoll, Inc.	$ 32.9	$ 67.9	$ 61.2	$ 35.8