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Revenue from Contracts with Customers - Schedule of Revenue Disaggregated By Product Type and Reportable Segment (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Mar. 01, 2025	Mar. 02, 2024	Mar. 01, 2025	Mar. 02, 2024
Disaggregation of Revenue [Line Items]
Net sales	$ 876.2	$ 872.3	$ 2,708.1	$ 2,739.5
North America Contract | Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	468.2	461.7	1,469.1	1,481.2
North America Contract | Workplace | Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	285.0	275.9	888.0	900.4
North America Contract | Performance Seating | Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	87.4	86.5	277.4	275.3
North America Contract | Lifestyle | Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	50.1	52.3	166.9	163.6
North America Contract | Other | Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	45.7	47.0	136.8	141.9
International Contract | Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	145.5	153.1	474.3	471.9
International Contract | Workplace | Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	35.4	40.7	121.4	126.9
International Contract | Performance Seating | Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	63.4	65.6	211.7	200.8
International Contract | Lifestyle | Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	35.5	40.9	118.7	125.8
International Contract | Other | Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	11.2	5.9	22.5	18.4
Global Retail | Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	262.5	257.5	764.7	786.4
Global Retail | Workplace | Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	2.5	3.3	7.2	10.8
Global Retail | Performance Seating | Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	57.0	50.4	154.0	148.1
Global Retail | Lifestyle | Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	201.5	203.5	601.4	626.6
Global Retail | Other | Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	$ 1.5	$ 0.3	$ 2.1	$ 0.9

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