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Revenue from Contracts with Customers - Revenue Disaggregated By Product Type And Reportable Segment (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Mar. 04, 2023
Feb. 26, 2022
Mar. 04, 2023
Feb. 26, 2022
Disaggregation of Revenue [Line Items]        
Net Sales: $ 984.7 $ 1,029.5 $ 3,130.4 $ 2,845.5
Americas Contract | Operating Segments        
Disaggregation of Revenue [Line Items]        
Net Sales: 484.6 509.4 1,551.7 1,390.0
Americas Contract | Workplace | Operating Segments        
Disaggregation of Revenue [Line Items]        
Net Sales: 313.5 326.1 994.3 880.1
Americas Contract | Performance Seating | Operating Segments        
Disaggregation of Revenue [Line Items]        
Net Sales: 102.8 112.8 336.7 320.0
Americas Contract | Lifestyle | Operating Segments        
Disaggregation of Revenue [Line Items]        
Net Sales: 60.8 58.4 200.3 156.2
Americas Contract | Other | Operating Segments        
Disaggregation of Revenue [Line Items]        
Net Sales: 7.5 12.1 20.4 33.7
International Contract & Specialty | Operating Segments        
Disaggregation of Revenue [Line Items]        
Net Sales: 242.5 241.0 779.9 655.1
International Contract & Specialty | Workplace | Operating Segments        
Disaggregation of Revenue [Line Items]        
Net Sales: 37.5 35.1 131.4 103.8
International Contract & Specialty | Performance Seating | Operating Segments        
Disaggregation of Revenue [Line Items]        
Net Sales: 63.3 62.0 197.9 170.2
International Contract & Specialty | Lifestyle | Operating Segments        
Disaggregation of Revenue [Line Items]        
Net Sales: 92.4 91.2 299.0 244.2
International Contract & Specialty | Other | Operating Segments        
Disaggregation of Revenue [Line Items]        
Net Sales: 49.3 52.7 151.6 136.9
Global Retail | Operating Segments        
Disaggregation of Revenue [Line Items]        
Net Sales: 257.6 279.1 798.8 800.4
Global Retail | Workplace | Operating Segments        
Disaggregation of Revenue [Line Items]        
Net Sales: 20.3 31.3 69.7 83.1
Global Retail | Performance Seating | Operating Segments        
Disaggregation of Revenue [Line Items]        
Net Sales: 59.8 67.4 161.9 195.7
Global Retail | Lifestyle | Operating Segments        
Disaggregation of Revenue [Line Items]        
Net Sales: 177.2 179.8 565.8 520.1
Global Retail | Other | Operating Segments        
Disaggregation of Revenue [Line Items]        
Net Sales: $ 0.3 $ 0.6 $ 1.4 $ 1.5