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Fair Value Measurements - Fair Value Hierarchy (Details) - USD ($)
$ in Millions
Aug. 28, 2021
May 29, 2021
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Contingent consideration, fair value, discount rate 2.50%  
Contingent consideration obligation $ 13.5  
Market Value 8.0 $ 7.7
Maximum    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Contingent consideration obligation 13.8  
Mutual funds - equity    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Market Value 0.8 0.8
Mutual funds - fixed income    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Market Value 7.2 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 15.1 162.2
Foreign currency forward contracts - liability 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 - asset 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 17.7 16.1
Total 18.6 18.5
Total 1.1 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 - liability 1.1 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 - asset 0.1 1.6
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 7.2 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 15.7 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 15.7 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 0.8 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 7.2 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 15.1 162.2
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