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Revenue from Contracts with Customers - Revenue Disaggregated By Product Type And Reportable Segment (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Feb. 26, 2022	Feb. 27, 2021	Feb. 26, 2022	Feb. 27, 2021
Disaggregation of Revenue [Line Items]
Net sales	$ 1,029.5	$ 590.5	$ 2,845.5	$ 1,843.6
Intersegment Eliminations
Disaggregation of Revenue [Line Items]
Net sales	(8.7)	0.0	(18.8)	0.0
Americas Contract: | Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	365.1	290.7	1,052.0	1,008.0
Americas Contract: | Workplace | Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	204.2	163.9	578.0	580.7
Americas Contract: | Performance Seating | Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	90.3	71.7	271.9	241.0
Americas Contract: | Lifestyle | Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	37.9	27.1	105.1	88.6
Americas Contract: | Other | Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	32.7	28.0	97.0	97.7
International Contract: | Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	123.4	98.0	347.4	293.5
International Contract: | Workplace | Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	30.1	23.3	91.2	82.9
International Contract: | Performance Seating | Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	61.0	51.4	167.8	146.3
International Contract: | Lifestyle | Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	27.2	20.0	78.6	59.3
International Contract: | Other | Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	5.1	3.3	9.8	5.0
Global Retail: | Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	212.8	201.8	635.4	542.1
Global Retail: | Workplace | Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	3.2	2.7	9.6	7.6
Global Retail: | Performance Seating | Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	63.4	75.2	184.5	196.3
Global Retail: | Lifestyle | Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	145.4	123.5	439.6	337.2
Global Retail: | Other | Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	0.8	0.4	1.7	1.0
Knoll | Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	336.9	0.0	829.5	0.0
Knoll | Workplace | Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	155.0	0.0	388.0	0.0
Knoll | Performance Seating | Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	29.1	0.0	66.8	0.0
Knoll | Lifestyle | Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	125.7	0.0	310.6	0.0
Knoll | Other | Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	$ 27.1	$ 0.0	$ 64.1	$ 0.0

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