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Income Taxes - Components of Income Tax Expense (Benefit) (Details) - USD ($)
$ in Millions
 12 Months Ended
May 29, 2021
May 30, 2020
Jun. 01, 2019
Income Tax Disclosure [Abstract]      
Current: Domestic - Federal $ 13.2 $ 12.0 $ 19.0
Domestic - State 5.2 5.7 6.4
Foreign 22.8 13.3 12.9
Current Income Tax Expense (Benefit) 41.2 31.0 38.3
Deferred: Domestic - Federal 10.1 (16.8) 1.0
Domestic - State 1.3 (3.9) (0.2)
Foreign (4.7) (4.3) 0.5
Deferred Income Tax Expense (Benefit) 6.7 (25.0) 1.3
Income tax expense $ 47.9 $ 6.0 $ 39.6