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Fair Value Measurements - Fair Value Hierarchy (Details) - Fair Value, Measurements, Recurring - USD ($) $ in Millions | Mar. 02, 2024 | Jun. 03, 2023
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NAV |  |
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items] |  |
Deferred compensation plan | $ 0.0 | $ 0.0
Total | 10.7 | 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 in active markets for identical assets (Level 1) |  |
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items] |  |
Deferred compensation plan | 18.3 | 16.3
Total | 18.3 | 16.3
Total | 0.0 | 0.0
Quoted prices in active markets for identical assets (Level 1) | 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 | 0.0 | 0.0
Total | 0.4 | 1.3
Total | 0.3 | 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 | 55.7 | 59.9
Total | 0.4 | 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 | 0.4 | 1.3
Foreign currency forward contracts - liability | 0.3 | 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 | 55.7 | 59.9
Interest rate swap agreement - liability | 0.4 | 3.0
Money market funds | NAV |  |
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items] |  |
Money market funds | 10.7 | 17.3
Money market funds | Quoted prices in active markets for identical assets (Level 1) |  |
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items] |  |
Money market funds | 0.0 | 0.0
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

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- Definition Fair value portion of currency on hand as well as demand deposits with banks or financial institutions. Includes other kinds of accounts that have the general characteristics of demand deposits. Also includes short-term, highly liquid investments that are both readily convertible to known amounts of cash and so near their maturity that they present insignificant risk of changes in value because of changes in interest rates. + References No definition available. + Details
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- Definition Carrying amount as of the balance sheet date of assets held under deferred compensation agreements. + References Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef -Topic 210 -SubTopic 10 -Name Accounting Standards Codification -Section S99 -Paragraph 1 -Subparagraph (SX 210.5-02(17)) -Publisher FASB -URI https://asc.fasb.org//1943274/2147480566/210-10-S99-1 + Details
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