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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
Dec. 03, 2022
Nov. 27, 2021
Dec. 03, 2022
Nov. 27, 2021
Disaggregation of Revenue [Line Items]        
Net Sales: $ 1,066.9 $ 1,026.3 $ 2,145.7 $ 1,816.0
Americas Contract | Operating Segments        
Disaggregation of Revenue [Line Items]        
Net Sales: 529.7 499.3 1,067.1 880.6
Americas Contract | Workplace | Operating Segments        
Disaggregation of Revenue [Line Items]        
Net Sales: 342.1 320.3 680.8 554.0
Americas Contract | Performance Seating | Operating Segments        
Disaggregation of Revenue [Line Items]        
Net Sales: 115.0 114.6 233.9 207.2
Americas Contract | Lifestyle | Operating Segments        
Disaggregation of Revenue [Line Items]        
Net Sales: 68.4 53.1 139.5 97.8
Americas Contract | Other | Operating Segments        
Disaggregation of Revenue [Line Items]        
Net Sales: 4.2 11.3 12.9 21.6
International Contract & Specialty | Operating Segments        
Disaggregation of Revenue [Line Items]        
Net Sales: 264.9 247.0 537.4 414.1
International Contract & Specialty | Workplace | Operating Segments        
Disaggregation of Revenue [Line Items]        
Net Sales: 49.5 40.5 93.8 68.7
International Contract & Specialty | Performance Seating | Operating Segments        
Disaggregation of Revenue [Line Items]        
Net Sales: 65.7 58.5 134.7 108.2
International Contract & Specialty | Lifestyle | Operating Segments        
Disaggregation of Revenue [Line Items]        
Net Sales: 99.6 99.0 206.6 153.0
International Contract & Specialty | Other | Operating Segments        
Disaggregation of Revenue [Line Items]        
Net Sales: 50.1 49.0 102.3 84.2
Global Retail | Operating Segments        
Disaggregation of Revenue [Line Items]        
Net Sales: 272.3 280.0 541.2 521.3
Global Retail | Workplace | Operating Segments        
Disaggregation of Revenue [Line Items]        
Net Sales: 21.9 32.8 49.4 51.8
Global Retail | Performance Seating | Operating Segments        
Disaggregation of Revenue [Line Items]        
Net Sales: 50.9 64.9 102.1 128.3
Global Retail | Lifestyle | Operating Segments        
Disaggregation of Revenue [Line Items]        
Net Sales: 198.8 181.8 388.6 340.3
Global Retail | Other | Operating Segments        
Disaggregation of Revenue [Line Items]        
Net Sales: $ 0.7 $ 0.5 $ 1.1 $ 0.9