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Revenue from Contracts with Customers - Revenue Disaggregated By Product Type And Reportable Segment (Details) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	Nov. 27, 2021	Nov. 28, 2020	Nov. 27, 2021	Nov. 28, 2020
Disaggregation of Revenue [Line Items]
Net Sales:	$ 1,026.3	$ 626.3	$ 1,816.0	$ 1,253.0
Intersegment Eliminations
Disaggregation of Revenue [Line Items]
Net Sales:	(6.6)	0.0	(10.2)	0.0
Americas Contract: | Operating Segments
Disaggregation of Revenue [Line Items]
Net Sales:	361.5	347.2	686.8	717.2
Americas Contract: | Workplace | Operating Segments
Disaggregation of Revenue [Line Items]
Net Sales:	197.3	202.9	373.8	416.7
Americas Contract: | Performance Seating | Operating Segments
Disaggregation of Revenue [Line Items]
Net Sales:	96.7	82.7	181.6	169.3
Americas Contract: | Lifestyle | Operating Segments
Disaggregation of Revenue [Line Items]
Net Sales:	34.5	28.3	67.1	61.5
Americas Contract: | Other | Operating Segments
Disaggregation of Revenue [Line Items]
Net Sales:	33.0	33.3	64.3	69.7
International Contract: | Operating Segments
Disaggregation of Revenue [Line Items]
Net Sales:	125.1	101.5	224.1	195.5
International Contract: | Workplace | Operating Segments
Disaggregation of Revenue [Line Items]
Net Sales:	35.4	28.0	61.2	59.7
International Contract: | Performance Seating | Operating Segments
Disaggregation of Revenue [Line Items]
Net Sales:	57.6	51.0	106.8	94.7
International Contract: | Lifestyle | Operating Segments
Disaggregation of Revenue [Line Items]
Net Sales:	28.9	21.6	51.4	39.4
International Contract: | Other | Operating Segments
Disaggregation of Revenue [Line Items]
Net Sales:	3.2	0.9	4.7	1.7
Global Retail: | Operating Segments
Disaggregation of Revenue [Line Items]
Net Sales:	210.0	177.6	422.6	340.3
Global Retail: | Workplace | Operating Segments
Disaggregation of Revenue [Line Items]
Net Sales:	2.9	2.5	6.4	4.9
Global Retail: | Performance Seating | Operating Segments
Disaggregation of Revenue [Line Items]
Net Sales:	60.1	63.6	121.1	121.2
Global Retail: | Lifestyle | Operating Segments
Disaggregation of Revenue [Line Items]
Net Sales:	146.4	111.1	294.1	213.6
Global Retail: | Other | Operating Segments
Disaggregation of Revenue [Line Items]
Net Sales:	0.6	0.4	1.0	0.6
Knoll | Operating Segments
Disaggregation of Revenue [Line Items]
Net Sales:	336.3	0.0	492.7	0.0
Knoll | Workplace | Operating Segments
Disaggregation of Revenue [Line Items]
Net Sales:	157.8	0.0	233.0	0.0
Knoll | Performance Seating | Operating Segments
Disaggregation of Revenue [Line Items]
Net Sales:	25.6	0.0	37.7	0.0
Knoll | Lifestyle | Operating Segments
Disaggregation of Revenue [Line Items]
Net Sales:	128.6	0.0	185.0	0.0
Knoll | Other | Operating Segments
Disaggregation of Revenue [Line Items]
Net Sales:	$ 24.3	$ 0.0	$ 37.0	$ 0.0

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