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Commitments and Contingencies Commitments and Contingencies (Parenthetical) (Details) - USD ($)
$ in Millions
9 Months Ended
Mar. 04, 2017
May 28, 2016
Loss Contingencies [Line Items]    
Warranty Length 12 years  
Performance Guarantee [Member]    
Loss Contingencies [Line Items]    
Guarantor Obligations, Current Carrying Value $ 0.0 $ 0.0
Financial Standby Letter of Credit [Member]    
Loss Contingencies [Line Items]    
Guarantor Obligations, Current Carrying Value $ 0.0 $ 0.0
Minimum [Member] | Performance Guarantee [Member]    
Loss Contingencies [Line Items]    
Guarantor Obligations, Period 1 year  
Maximum [Member] | Performance Guarantee [Member]    
Loss Contingencies [Line Items]    
Guarantor Obligations, Period 3 years