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Commitments and Contingencies - Schedule of Product Warranty Liability (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Feb. 27, 2016
Feb. 28, 2015
Feb. 27, 2016
Feb. 28, 2015
Movement in Standard Product Warranty Accrual [Roll Forward]        
Accrual Balance — beginning $ 40.6 $ 38.5 $ 39.3 $ 37.7
Accrual for product-related matters 5.7 5.4 17.9 18.1
Settlements and adjustments (4.7) (5.3) (15.6) (17.2)
Accrual Balance — ending $ 41.6 $ 38.6 $ 41.6 $ 38.6