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Restructuring Expenses (Details) - USD ($)
$ in Millions
 3 Months Ended 12 Months Ended
Aug. 29, 2020
May 30, 2020
May 29, 2021
May 30, 2020
Jun. 01, 2019
Restructuring Cost and Reserve [Line Items]          
Restructuring expenses     $ 2.7 $ 26.4 $ 10.2
International Contract          
Restructuring Cost and Reserve [Line Items]          
Restructuring expenses     (1.1) 4.8 2.5
North America Contract          
Restructuring Cost and Reserve [Line Items]          
Restructuring expenses     3.8 18.7 7.7
Retail          
Restructuring Cost and Reserve [Line Items]          
Restructuring expenses     0.0 $ 2.9 $ 0.0
Facilities Consolidation Plan | International Contract | Exit or Disposal Activities          
Restructuring Cost and Reserve [Line Items]          
Effect on Future Earnings, Amount     3.0    
Restructuring costs incurred to date     5.9    
Restructuring & impairment expenses     (1.9)    
Future restructuring costs expected     0.0    
Gain on sale of building and related assets $ 3.4        
Nemschoff Plan | North America Contract          
Restructuring Cost and Reserve [Line Items]          
Restructuring costs incurred to date     3.1    
Future restructuring costs expected     0.0    
Restructuring expenses     (0.1)    
North American Sales and Global Product Teams Plan | North America Contract          
Restructuring Cost and Reserve [Line Items]          
Restructuring costs incurred to date     2.6    
Future restructuring costs expected     0.0    
Retail Plan | Retail | Severance and employee related expenses          
Restructuring Cost and Reserve [Line Items]          
Restructuring expenses   $ 2.2      
May 2020 Restructuring Plan          
Restructuring Cost and Reserve [Line Items]          
Restructuring costs incurred to date     18.7    
Restructuring expenses     3.4    
May 2020 Restructuring Plan | Severance and employee related expenses          
Restructuring Cost and Reserve [Line Items]          
Effect on Future Earnings, Amount     $ 40.0