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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. 01, 2019
Jun. 02, 2018
Jun. 03, 2017
Movement in Standard Product Warranty Accrual [Roll Forward]      
Accrual balance, beginning $ 51.5 $ 47.7 $ 43.9
Accrual for warranty matters 20.7 22.1 22.8
Settlements (19.1) (18.3) (19.0)
Accrual balance, ending $ 53.1 $ 51.5 $ 47.7