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Income Taxes - Schedule of Unrecognized Ta Benefits, Interest, Penalties and Related Liability (Details) - USD ($)
$ in Millions
12 Months Ended
Jun. 01, 2024
Jun. 03, 2023
May 28, 2022
Income Tax Disclosure [Abstract]      
Interest and penalty (income) expense $ 0.1 $ (0.2) $ 0.0
Liability for interest and penalties $ 0.8 $ 0.7 $ 0.9