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Fair Value - Schedule of Fair Value Assets and Liabilities Measured on a Recurring and Nonrecurring Basis (Details) - USD ($)
$ in Millions
May 29, 2021
May 30, 2020
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis    
Mutual funds - fixed income $ 7.7 $ 7.0
Mutual funds - equity    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis    
Mutual funds - fixed income 0.8 0.7
Mutual funds - fixed income    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis    
Mutual funds - fixed income 6.9 6.3
Fair Value, Recurring [Member]    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis    
Total   15.0
Total   15.0
NAV | Fair Value, Recurring [Member]    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis    
Total 162.2 283.7
Total 162.2 283.7
Quoted Prices with Other Observable Inputs (Level 2) | Fair Value, Recurring [Member]    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis    
Deferred compensation plan 16.1 13.2
Total 18.5  
Total 0.1 0.8
Total 18.5  
Total 0.1 0.8
Quoted Prices with Other Observable Inputs (Level 2) | Fair Value, Recurring [Member] | Mutual funds - equity    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis    
Mutual funds - equity 0.8 0.7
Money Market Funds | NAV | Fair Value, Recurring [Member]    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis    
Money market funds 162.2 283.7
Money Market Funds | Quoted Prices with Other Observable Inputs (Level 2) | Fair Value, Recurring [Member]    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis    
Money market funds 0.0 0.0
Other Current Assets | Quoted Prices with Other Observable Inputs (Level 2) | Fair Value, Recurring [Member] | Foreign currency forward contracts    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis    
Foreign currency forward contracts - asset 1.6 1.1
Other Current Liabilities | Quoted Prices with Other Observable Inputs (Level 2) | Fair Value, Recurring [Member] | Foreign currency forward contracts    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis    
Foreign currency forward contracts - liability 0.1 0.8
Other Assets | Quoted Prices with Other Observable Inputs (Level 2) | Fair Value, Recurring [Member]    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis    
Total 6.9 6.3
Total 6.9 6.3
Other Assets | Quoted Prices with Other Observable Inputs (Level 2) | Fair Value, Recurring [Member] | Interest rate swap agreement    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis    
Interest rate swap agreement 0.0 0.0
Other Assets | Quoted Prices with Other Observable Inputs (Level 2) | Fair Value, Recurring [Member] | Mutual funds - fixed income    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis    
Mutual funds - fixed income 6.9 6.3
Other Liabilities | Quoted Prices with Other Observable Inputs (Level 2) | Fair Value, Recurring [Member]    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis    
Total 14.4 25.0
Total $ 14.4 25.0
Other Liabilities | Quoted Prices with Other Observable Inputs (Level 2) | Fair Value, Recurring [Member] | Interest rate swap agreement    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis    
Interest rate swap agreement   $ 25.0