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Commitments and Contingencies - Schedule of Accrued Product Warranty (Details) - USD ($)
$ in Millions
12 Months Ended
Jun. 01, 2024
Jun. 03, 2023
May 28, 2022
Movement in Standard Product Warranty Accrual [Roll Forward]      
Accrual Balance, beginning $ 73.9 $ 73.2 $ 60.1
Accrual for warranty matters 21.6 24.6 16.6
Settlements and adjustments (25.1) (23.9) (18.6)
Acquired through business acquisition 0.0 0.0 15.1
Accrual Balance, ending $ 70.4 $ 73.9 $ 73.2