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Commitments and Contingencies - Schedule of Product Warranty Liability (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Feb. 29, 2020
Mar. 02, 2019
Feb. 29, 2020
Mar. 02, 2019
Movement in Standard Product Warranty Accrual [Roll Forward]        
Accrual Balance — beginning $ 54.6 $ 52.4 $ 53.1 $ 51.5
Accrual for warranty matters 7.5 4.6 19.1 15.3
Settlements and adjustments (4.7) (4.5) (14.8) (14.3)
Accrual Balance — ending $ 57.4 $ 52.5 $ 57.4 $ 52.5
Product Warranty Period     12 years