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Operating Segments (Details) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	Nov. 27, 2021	Nov. 28, 2020	Nov. 27, 2021	Nov. 28, 2020
Segment Reporting Information
Net Sales:	$ 1,026.3	$ 626.3	$ 1,816.0	$ 1,253.0
Operating Earnings (Loss):	3.8	71.0	(49.0)	166.4
Intersegment Eliminations
Segment Reporting Information
Net Sales:	(6.6)	0.0	(10.2)	0.0
Americas Contract
Segment Reporting Information
Operating Earnings (Loss):	6.3	39.1	17.1	97.0
Americas Contract | Operating Segments
Segment Reporting Information
Net Sales:	361.5	347.2	686.8	717.2
International Contract
Segment Reporting Information
Operating Earnings (Loss):	15.2	12.9	26.5	29.1
International Contract | Operating Segments
Segment Reporting Information
Net Sales:	125.1	101.5	224.1	195.5
Global Retail
Segment Reporting Information
Operating Earnings (Loss):	23.2	29.3	50.9	60.8
Global Retail | Operating Segments
Segment Reporting Information
Net Sales:	210.0	177.6	422.6	340.3
Knoll
Segment Reporting Information
Operating Earnings (Loss):	(20.6)	0.0	(74.4)	0.0
Knoll | Operating Segments
Segment Reporting Information
Net Sales:	336.3	0.0	492.7	0.0
Corporate
Segment Reporting Information
Operating Earnings (Loss):	$ (20.3)	$ (10.3)	$ (69.1)	$ (20.5)

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