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Fair Value of Financial Instruments Fair Value of Financial Instruments - Schedule of Contingent Consideration Reconciliation (Details) - Contingent Consideration [Member] - USD ($)
$ in Millions
12 Months Ended
Jun. 02, 2018
Jun. 03, 2017
Fair Value, Liabilities Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]    
Beginning balance $ 0.5 $ 2.7
Net realized losses (gains) 0.1 (0.2)
Settlements (0.1) (2.0)
Ending balance $ 0.5 $ 0.5