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Fair Value Measurements - Fair Value Hierarchy (Details) - USD ($)
$ in Millions
Feb. 26, 2022
May 29, 2021
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Market Value $ 0.0 $ 7.7
Mutual funds - equity    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Market Value 0.0 0.8
Mutual funds - fixed income    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Market Value 0.0 6.9
NAV | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Mutual funds - equity 0.0 0.0
Deferred compensation plan 0.0 0.0
Total 28.0 162.2
Foreign currency forward contracts 0.0 0.0
Total 0.0 0.0
NAV | Fair Value, Measurements, Recurring | Other Current Assets | Foreign currency forward contracts    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Foreign currency forward contracts 0.0 0.0
Quoted Prices with Other Observable Inputs (Level 2) | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Deferred compensation plan 16.2 16.1
Total 16.7 18.5
Total 0.4 0.1
Quoted Prices with Other Observable Inputs (Level 2) | Fair Value, Measurements, Recurring | Foreign currency forward contracts    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Foreign currency forward contracts 0.4 0.1
Quoted Prices with Other Observable Inputs (Level 2) | Fair Value, Measurements, Recurring | Other Current Assets | Foreign currency forward contracts    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Foreign currency forward contracts 0.5 1.6
Quoted Prices with Other Observable Inputs (Level 2) | Fair Value, Measurements, Recurring | Other Noncurrent Assets | Interest rate swap agreement    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Interest rate swap agreement - asset 5.3 0.0
Quoted Prices with Other Observable Inputs (Level 2) | Fair Value, Measurements, Recurring | Other Assets    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Market Value 5.3 6.9
Quoted Prices with Other Observable Inputs (Level 2) | Fair Value, Measurements, Recurring | Other Liabilities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Market Value 2.3 14.4
Quoted Prices with Other Observable Inputs (Level 2) | Fair Value, Measurements, Recurring | Other Liabilities | Interest rate swap agreement    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Interest rate swap agreement - liability 2.3 14.4
Quoted Prices with Other Observable Inputs (Level 2) | Fair Value, Measurements, Recurring | Mutual funds - equity    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Mutual funds - equity 0.0 0.8
Quoted Prices with Other Observable Inputs (Level 2) | Fair Value, Measurements, Recurring | Mutual funds - fixed income    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Market Value 0.0 6.9
Money market funds | NAV | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Money market funds 28.0 162.2
Money market funds | Quoted Prices with Other Observable Inputs (Level 2) | Fair Value, Measurements, Recurring    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Money market funds $ 0.0 $ 0.0