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Fair Value Measurements - Fair Value Hierarchy (Details) - Fair Value, Measurements, Recurring - USD ($)
$ in Millions
Sep. 02, 2023
Jun. 03, 2023
NAV    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Deferred compensation plan $ 0.0 $ 0.0
Total 4.2 17.3
Total 0.0 0.0
NAV | 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
Foreign currency forward contracts - liability 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 18.0 16.3
Total 18.6 17.6
Total 1.3 1.8
Quoted Prices with Other Observable Inputs (Level 2) | Other Comprehensive Income (Loss)    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Total 67.2 59.9
Total 0.0 3.0
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 - asset 0.6 1.3
Foreign currency forward contracts - liability 1.3 1.8
Quoted Prices with Other Observable Inputs (Level 2) | Interest rate swap agreement | Other Comprehensive Income (Loss)    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Interest rate swap agreement - asset 67.2 59.9
Interest rate swap agreement - liability 0.0 3.0
Money market funds | NAV    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Money market funds 4.2 17.3
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