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Fair Value Measurements Fair Value Measurements - Contingent Consideration (Details) - USD ($)
$ in Millions
9 Months Ended
Mar. 02, 2019
Mar. 03, 2018
Fair Value, Liabilities Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]    
Beginning balance $ 0.5 $ 0.5
Net realized losses (gains) 0.0 0.0
Payments (0.1) (0.1)
Ending balance $ 0.4 $ 0.4