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Fair Value Measurements - Fair Value Hierarchy (Details) - Fair Value, Measurements, Recurring - USD ($)
$ in Millions
Sep. 03, 2022
May 28, 2022
NAV    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Deferred compensation plan $ 0.0 $ 0.0
Total 18.5 31.8
Foreign currency forward contracts - liability 0.0 0.0
Total 0.0 0.0
NAV | 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, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Deferred compensation plan 15.6 15.0
Total 16.8 15.4
Total 5.1 1.0
Quoted Prices with Other Observable Inputs (Level 2) | Foreign currency forward contracts    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Foreign currency forward contracts - liability 5.1 1.0
Quoted Prices with Other Observable Inputs (Level 2) | 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 1.2 0.4
Quoted Prices with Other Observable Inputs (Level 2) | 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 50.6 31.9
Quoted Prices with Other Observable Inputs (Level 2) | Other Assets    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Market Value 50.6 31.9
Quoted Prices with Other Observable Inputs (Level 2) | Other Liabilities    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Market Value 0.0 0.0
Quoted Prices with Other Observable Inputs (Level 2) | Other Liabilities | Interest rate swap agreement    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Interest rate swap agreement - liability 0.0 0.0
Money market funds | NAV    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Money market funds 18.5 31.8
Money market funds | Quoted Prices with Other Observable Inputs (Level 2)    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Money market funds $ 0.0 $ 0.0