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Fair Value of Financial Instruments Fair Value of Financial Instruments - Schedule of Derivative Instruments, Gain (loss) in Statement of Financial Performance (Details) - USD ($)
$ in Millions
12 Months Ended
Jun. 02, 2018
Jun. 03, 2017
May 28, 2016
Forward Contracts | Other Expense Income [Member]      
Derivative Instruments, Gain (Loss) [Line Items]      
Gain (Loss) on Foreign Currency Derivative Instruments Not Designated as Hedging Instruments $ 0.4 $ (1.2) $ (0.7)