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Revenue from Contracts with Customers - Revenue Disaggregated By Product Type And Reportable Segment (Details) - USD ($)
$ in Millions
3 Months Ended
Sep. 02, 2023
Sep. 03, 2022
Disaggregation of Revenue [Line Items]    
Net sales $ 917.7 $ 1,078.8
Americas Contract | Operating Segments    
Disaggregation of Revenue [Line Items]    
Net sales 490.4 537.4
Americas Contract | Workplace | Operating Segments    
Disaggregation of Revenue [Line Items]    
Net sales 324.2 338.7
Americas Contract | Performance Seating | Operating Segments    
Disaggregation of Revenue [Line Items]    
Net sales 103.3 115.7
Americas Contract | Lifestyle | Operating Segments    
Disaggregation of Revenue [Line Items]    
Net sales 60.6 74.3
Americas Contract | Other | Operating Segments    
Disaggregation of Revenue [Line Items]    
Net sales 2.3 8.7
International Contract & Specialty | Operating Segments    
Disaggregation of Revenue [Line Items]    
Net sales 228.3 272.5
International Contract & Specialty | Workplace | Operating Segments    
Disaggregation of Revenue [Line Items]    
Net sales 38.7 44.4
International Contract & Specialty | Performance Seating | Operating Segments    
Disaggregation of Revenue [Line Items]    
Net sales 52.6 68.8
International Contract & Specialty | Lifestyle | Operating Segments    
Disaggregation of Revenue [Line Items]    
Net sales 88.4 102.7
International Contract & Specialty | Other | Operating Segments    
Disaggregation of Revenue [Line Items]    
Net sales 48.6 56.6
Global Retail | Operating Segments    
Disaggregation of Revenue [Line Items]    
Net sales 199.0 268.9
Global Retail | Workplace | Operating Segments    
Disaggregation of Revenue [Line Items]    
Net sales 4.2 27.5
Global Retail | Performance Seating | Operating Segments    
Disaggregation of Revenue [Line Items]    
Net sales 42.1 51.2
Global Retail | Lifestyle | Operating Segments    
Disaggregation of Revenue [Line Items]    
Net sales 152.5 189.8
Global Retail | Other | Operating Segments    
Disaggregation of Revenue [Line Items]    
Net sales $ 0.2 $ 0.4