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Income Taxes - Schedule of Unrecognized Tax Benefits (Details) - USD ($)
$ in Millions
12 Months Ended
Jun. 01, 2024
Jun. 03, 2023
May 28, 2022
Income Tax Disclosure [Abstract]      
Unrecognized tax benefits, beginning balance $ 1.5 $ 1.6 $ 2.3
Increases related to prior year income tax positions   0.1  
Increases related to current year income tax positions 0.2    
Decreases related to lapse of applicable statute of limitations (0.3) (0.6)  
Decreases related to settlements   (0.2)  
Unrecognized tax benefits, ending balance $ 1.5 $ 1.6