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Fair Value of Financial Instruments Fair Value of Financial Instruments - Schedule of Derivative Instruments in Statement of Financial Position (Details) - Fair Value, Measurements, Recurring [Member] - Quoted Prices With Other Observable Inputs (Level 2) - USD ($)
$ in Millions
Jun. 02, 2018
Jun. 03, 2017
Interest Rate Swap    
Derivatives, Fair Value [Line Items]    
Interest Rate Swap Agreement   $ 3.3
Interest Rate Swap | Other Noncurrent Assets [Member]    
Derivatives, Fair Value [Line Items]    
Interest Rate Swap Agreement $ 15.0 3.3
Forward Contracts | Other Current Assets [Member]    
Derivatives, Fair Value [Line Items]    
Foreign Currency Derivative Instruments Not Designated as Hedging Instruments, Asset at Fair Value 0.4 0.5
Forward Contracts | Other Current Liabilities [Member]    
Derivatives, Fair Value [Line Items]    
Foreign Currency Derivative Instruments Not Designated as Hedging Instruments, Liability at Fair Value $ 0.3 $ 0.6