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Warranties, Guarantees and Contingencies (Details) (USD $)
In Millions, unless otherwise specified
12 Months Ended
Jun. 01, 2013
Jun. 02, 2012
May 28, 2011
Movement in Standard Product Warranty Accrual [Roll Forward]      
Product Warranty Accrual $ 22.2 $ 17.0 $ 16.0
Product Warranty Accrual, Warranties Issued 23.3 24.9 14.5
Product Warranty Accrual, Preexisting, Increase (Decrease) 0 5.0 0
Product Warranty Accrual, Payments (20.7) (24.7) (13.5)
Product Warranty Accrual 24.8 22.2 17.0
Warranty Length 12 years    
Performance Guarantee [Member]
     
Guarantor Obligations, Maximum Exposure, Undiscounted 12.9    
Financial Standby Letter of Credit [Member]
     
Guarantor Obligations, Maximum Exposure, Undiscounted 7.7    
Other Accrued Liabilities [Member] | Necessary Maintenance And Repairs [Member]
     
Movement in Standard Product Warranty Accrual [Roll Forward]      
Loss Contingency Accrual, at Carrying Value 1.3 1.2  
Other Liabilities, Noncurrent [Member] | Additional Lease Obligation [Member]
     
Movement in Standard Product Warranty Accrual [Roll Forward]      
Loss Contingency Accrual, at Carrying Value $ 0.6 $ 1.1