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Income Taxes - Schedule of Income before Income Tax, Domestic and Foreign (Details) - USD ($)
$ in Millions
12 Months Ended
Jun. 01, 2024
Jun. 03, 2023
May 28, 2022
Income Tax Disclosure [Abstract]      
Domestic $ (24.8) $ (90.3) $ (142.4)
Foreign 124.5 141.7 133.8
Earnings (loss) before income taxes and equity income $ 99.7 $ 51.4 $ (8.6)