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Fair Value Measurements - Fair Value Hierarchy (Details) - USD ($) $ in Millions | Aug. 31, 2019 | Jun. 01, 2019
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Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items] |  |
Noncontrolling Interest, Ownership Percentage by Noncontrolling Owners |  | 5.00%
Mutual funds - equity |  |
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items] |  |
Mutual funds - equity | $ 0.9 | $ 0.9
Mutual funds - fixed income |  |
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items] |  |
Mutual funds - fixed income | 8.1 | 7.9
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 | 60.6 | 69.5
Foreign currency forward contracts | 0.0 |
Total | 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 | 13.5 | 12.5
Total | 14.4 | 13.4
Total | 0.1 | 1.4
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 | 0.1 | 1.4
Quoted Prices with Other Observable Inputs (Level 2) | Fair Value, Measurements, Recurring | 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 | 0.0 | 1.0
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] |  |
Mutual funds - fixed income | 8.1 | 8.9
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] |  |
Mutual funds - fixed income | 12.7 | 2.2
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 | 12.7 | 2.2
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 | 0.9 | 0.9
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] |  |
Mutual funds - fixed income | 8.1 | 7.9
Management Estimate (Level 3) | Fair Value, Measurements, Recurring |  |
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items] |  |
Deferred compensation plan | 0.0 | 0.0
Total | 0.0 | 0.0
Total | 0.0 | 0.0
Management Estimate (Level 3) | 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 | 0.0 | 0.0
Management Estimate (Level 3) | Fair Value, Measurements, Recurring | Mutual funds - equity |  |
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items] |  |
Mutual funds - equity | 0.0 | 0.0
Money market funds | NAV | Fair Value, Measurements, Recurring |  |
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items] |  |
Money market funds | 60.6 | 69.5
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
Money market funds | Management Estimate (Level 3) | Fair Value, Measurements, Recurring |  |
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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