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Fair Value of Financial Instruments Fair Value of Financial Instruments - Schedule of Contingent Consideration Reconciliation (Details) - Contingent Consideration - USD ($)
$ in Millions
12 Months Ended
Jun. 01, 2019
Jun. 02, 2018
Fair Value, Liabilities Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]    
Beginning balance $ 0.5 $ 0.5
Net realized (gains) losses (0.2) 0.1
Settlements 0.1 0.1
Ending balance $ 0.2 $ 0.5