Fair Value Measurements - Fair Value Hierarchy (Details) - USD ($) $ in Millions | Aug. 31, 2019 | Jun. 01, 2019 |
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 |
Deferred compensation plan | 0 | 0 |
Total | 60.6 | 69.5 |
Foreign currency forward contracts | 0 | |
Total | 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 | 1 |
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 |
Total | 0 | 0 |
Total | 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 |
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 |
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 |
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 |