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Operating Segments (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Feb. 26, 2022	Feb. 27, 2021	Feb. 26, 2022	Feb. 27, 2021
Segment Reporting Information
Net sales	$ 1,029.5	$ 590.5	$ 2,845.5	$ 1,843.6
Operating Earnings (Loss):	26.5	55.1	(22.5)	221.5
Intersegment Eliminations
Segment Reporting Information
Net sales	(8.7)	0.0	(18.8)	0.0
Americas Contract
Segment Reporting Information
Operating Earnings (Loss):	2.7	14.6	18.5	111.6
Americas Contract | Operating Segments
Segment Reporting Information
Net sales	365.1	290.7	1,052.0	1,008.0
International Contract
Segment Reporting Information
Operating Earnings (Loss):	12.5	11.0	40.8	40.1
International Contract | Operating Segments
Segment Reporting Information
Net sales	123.4	98.0	347.4	293.5
Global Retail
Segment Reporting Information
Operating Earnings (Loss):	24.0	39.9	74.2	100.7
Global Retail | Operating Segments
Segment Reporting Information
Net sales	212.8	201.8	635.4	542.1
Knoll
Segment Reporting Information
Operating Earnings (Loss):	1.5	0.0	(72.8)	0.0
Knoll | Operating Segments
Segment Reporting Information
Net sales	336.9	0.0	829.5	0.0
Corporate
Segment Reporting Information
Operating Earnings (Loss):	$ (14.2)	$ (10.4)	$ (83.2)	$ (30.9)

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