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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. 02, 2019
Mar. 03, 2018
Mar. 02, 2019
Mar. 03, 2018
Disaggregation of Revenue [Line Items]        
Net sales $ 619.0 $ 578.4 $ 1,896.2 $ 1,763.2
North American Furniture Solutions        
Disaggregation of Revenue [Line Items]        
Net sales 320.9 316.4 1,017.8 975.3
North American Furniture Solutions | Systems        
Disaggregation of Revenue [Line Items]        
Net sales 127.5   415.7  
North American Furniture Solutions | Seating        
Disaggregation of Revenue [Line Items]        
Net sales 93.2   289.8  
North American Furniture Solutions | Freestanding and storage        
Disaggregation of Revenue [Line Items]        
Net sales 73.5   226.8  
North American Furniture Solutions | Other        
Disaggregation of Revenue [Line Items]        
Net sales 26.7   85.5  
ELA Furniture Solutions        
Disaggregation of Revenue [Line Items]        
Net sales 126.0 102.6 359.9 309.0
ELA Furniture Solutions | Systems        
Disaggregation of Revenue [Line Items]        
Net sales 26.8   78.0  
ELA Furniture Solutions | Seating        
Disaggregation of Revenue [Line Items]        
Net sales 71.8   202.7  
ELA Furniture Solutions | Freestanding and storage        
Disaggregation of Revenue [Line Items]        
Net sales 14.5   38.7  
ELA Furniture Solutions | Other        
Disaggregation of Revenue [Line Items]        
Net sales 12.9   40.5  
Specialty        
Disaggregation of Revenue [Line Items]        
Net sales 76.1 72.6 235.0 222.2
Specialty | Systems        
Disaggregation of Revenue [Line Items]        
Net sales 1.2   4.5  
Specialty | Seating        
Disaggregation of Revenue [Line Items]        
Net sales 29.5   85.4  
Specialty | Freestanding and storage        
Disaggregation of Revenue [Line Items]        
Net sales 17.9   55.5  
Specialty | Textiles        
Disaggregation of Revenue [Line Items]        
Net sales 26.5   84.8  
Specialty | Other        
Disaggregation of Revenue [Line Items]        
Net sales 1.0   4.8  
Consumer        
Disaggregation of Revenue [Line Items]        
Net sales 96.0 $ 86.8 283.5 $ 256.7
Consumer | Seating        
Disaggregation of Revenue [Line Items]        
Net sales 59.2   171.0  
Consumer | Freestanding and storage        
Disaggregation of Revenue [Line Items]        
Net sales 15.2   49.2  
Consumer | Other        
Disaggregation of Revenue [Line Items]        
Net sales $ 21.6   $ 63.3