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Fair Value Measurements - Unrealized Gain (Loss) on Investments (Details) - USD ($)
$ in Millions
3 Months Ended
Sep. 01, 2018
Sep. 02, 2017
Jun. 02, 2018
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Cost $ 8.4   $ 8.5
Unrealized Gain/(loss) 0.1   0.1
Market Value 8.5   8.6
Fixed Income Securities      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Cost 7.7   7.8
Unrealized Gain/(loss) (0.1) $ (0.1) (0.1)
Market Value 7.6   7.7
Mutual funds      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Equity Securities, FV-NI, Cost 0.7   0.7
Debt and equity securities, unrealized gain (loss) 0.2 $ 0.2  
Mutual funds - equity 0.9   0.9
Fair Value, Inputs, Level 2 | Fair Value, Measurements, Recurring      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Market Value 22.0   22.7
Fair Value, Inputs, Level 2 | Fair Value, Measurements, Recurring | Fixed Income Securities      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Market Value 7.6   7.7
Fair Value, Inputs, Level 2 | Fair Value, Measurements, Recurring | Mutual funds      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Mutual funds - equity 0.9   0.9
Fair Value, Inputs, Level 2 | Fair Value, Measurements, Recurring | Interest rate swap agreement      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Market Value 14.4   15.0
Fair Value, Inputs, Level 3 | Fair Value, Measurements, Recurring      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Market Value 0.0   0.0
Fair Value, Inputs, Level 3 | Fair Value, Measurements, Recurring | Fixed Income Securities      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Market Value 0.0   0.0
Fair Value, Inputs, Level 3 | Fair Value, Measurements, Recurring | Mutual funds      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Mutual funds - equity 0.0   0.0
Fair Value, Inputs, Level 3 | Fair Value, Measurements, Recurring | Interest rate swap agreement      
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]      
Market Value $ 0.0   $ 0.0