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Warranties, Guarantees, and Contingencies Warranties, Guarantees, and Contingencies - Schedule of Accrued Product Warranty (Details) - USD ($)
$ in Millions
12 Months Ended
Jun. 02, 2018
Jun. 03, 2017
May 28, 2016
Movement in Standard Product Warranty Accrual [Roll Forward]      
Standard and Extended Product Warranty Accrual $ 47.7 $ 43.9 $ 39.3
Standard and Extended Product Warranty Accrual, Increase for Warranties Issued 22.1 22.8 25.5
Standard and Extended Product Warranty Accrual, Decrease for Payments (18.3) (19.0) (20.9)
Standard and Extended Product Warranty Accrual $ 51.5 $ 47.7 $ 43.9