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Revenue from Contracts with Customers - Schedule of Revenue Disaggregated By Product Type and Reportable Segment (Details) - USD ($) $ in Millions	12 Months Ended
	Jun. 01, 2024	Jun. 03, 2023	May 28, 2022
Disaggregation of Revenue [Line Items]
Net sales	$ 3,628.4	$ 4,087.1	$ 3,946.0
Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	3,628.4	4,087.1
Other
Disaggregation of Revenue [Line Items]
Net sales	216.8	242.4	248.1
Americas Contract | Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	1,824.2	2,026.1	1,929.1
Americas Contract | Workplace | Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	1,174.6	1,305.8
Americas Contract | Performance Seating | Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	399.9	427.0
Americas Contract | Lifestyle | Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	229.3	268.7
Americas Contract | Other | Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	20.4	24.6
International Contract & Specialty | Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	931.8	1,017.3	928.5
International Contract & Specialty | Workplace | Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	147.9	170.1
International Contract & Specialty | Performance Seating | Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	243.8	251.8
International Contract & Specialty | Lifestyle | Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	345.1	379.2
International Contract & Specialty | Other | Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	195.0	216.2
Global Retail | Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	872.4	1,043.7	$ 1,088.4
Global Retail | Workplace | Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	13.7	83.8
Global Retail | Performance Seating | Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	191.3	210.7
Global Retail | Lifestyle | Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	666.0	747.6
Global Retail | Other | Operating Segments
Disaggregation of Revenue [Line Items]
Net sales	$ 1.4	$ 1.6

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