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Income Taxes - Components of Income Tax Expense (Benefit) (Details) - USD ($)
$ in Millions
 12 Months Ended
Jun. 03, 2017
May 28, 2016
May 30, 2015
Income Tax Disclosure [Abstract]      
Current: Domestic - Federal $ 28.7 $ 36.4 $ 43.6
Domestic - State 2.3 6.4 6.3
Foreign 11.1 6.3 6.1
Current Income Tax Expense (Benefit) 42.1 49.1 56.0
Deferred: Domestic - Federal 9.2 7.5 (5.9)
Domestic - State 2.8 0.2 (0.6)
Foreign 1.0 2.7 (2.3)
Deferred Income Tax Expense (Benefit) 13.0 10.4 (8.8)
Income tax expense $ 55.1 $ 59.5 $ 47.2