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Commitments and Contingencies - Warranties (Details) (USD $)
In Millions, unless otherwise specified
3 Months Ended 9 Months Ended
Mar. 01, 2014
Mar. 02, 2013
Mar. 01, 2014
Mar. 02, 2013
Schedule of Warranty Accrual [Line Items]        
Warranty Length     12 years  
Movement in Standard and Extended Product Warranty, Increase (Decrease) [Roll Forward]        
Accrual Balance — beginning $ 24.8 $ 23.4 $ 24.8 $ 22.2
Accrual for warranty matters 5.1 5.4 15.4 16.8
Settlements and adjustments (4.5) (4.8) (14.8) (15.0)
Accrual Balance — ending $ 25.4 $ 24.0 $ 25.4 $ 24.0