Fair Value Measurements - Fair Value Hierarchy (Details) - Fair Value, Measurements, Recurring - USD ($) $ in Millions	Dec. 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	7.3	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	18.6	16.3
Total	20.2	17.6
Total	0.5	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	57.5	59.9
Total	0.8	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	1.6	1.3
Foreign currency forward contracts - liability	0.5	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	57.5	59.9
Interest rate swap agreement - liability	0.8	3.0
Money market funds | NAV
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Money market funds	7.3	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