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Debt and Lines of Credit (Details) |  |  | 3 Months Ended | 9 Months Ended |
--- | --- | --- | --- | --- | ---
Nov. 10, 2020 USD ($) | Jun. 29, 2018 USD ($) | May 31, 2022 USD ($) | May 31, 2021 USD ($) | May 31, 2022 USD ($) | May 31, 2021 USD ($) | Aug. 31, 2021 USD ($)
Line of Credit Facility [Abstract] |  |  |  |  |  |  |
Short-term borrowings outstanding |  |  | $ 122,000,000.0 |  | $ 122,000,000.0 |  | $ 0
Interest Revenue (Expense), Net [Abstract] |  |  |  |  |  |  |
Interest expense |  |  | 6,600,000 | $ 6,400,000 | 19,200,000 | $ 18,400,000 |
Interest income |  |  | (400,000) | (200,000) | (1,100,000) | (700,000) |
Interest expense, net |  |  | 6,200,000 | $ 6,200,000 | 18,100,000 | $ 17,700,000 |
Credit facility | Line of Credit |  |  |  |  |  |  |
Line of Credit Facility [Abstract] |  |  |  |  |  |  |
Minimum interest coverage ratio |  | 2.50 |  |  |  |  |
Maximum leverage ratio |  | 3.50 |  |  |  |  |
Outstanding letters of credit |  |  | 4,100,000 |  | 4,100,000 |  |
Credit facility | Line of Credit | Minimum |  |  |  |  |  |  |
Line of Credit Facility [Abstract] |  |  |  |  |  |  |
Facility fee (percent) |  | 0.125% |  |  |  |  |
Credit facility | Line of Credit | Maximum |  |  |  |  |  |  |
Line of Credit Facility [Abstract] |  |  |  |  |  |  |
Facility fee (percent) |  | 0.25% |  |  |  |  |
Credit facility | Line of Credit | the Revolving Credit Facility |  |  |  |  |  |  |
Line of Credit Facility [Abstract] |  |  |  |  |  |  |
Term of instrument |  | 5 years |  |  |  |  |
Executed revolving credit facility |  | $ 400,000,000 |  |  |  |  |
Short-term borrowings outstanding |  |  | 122,000,000 |  | 122,000,000 |  | $ 0
Additional borrowing capacity under revolving credit facility |  |  | 273,900,000 |  | 273,900,000 |  |
Credit facility | Letters of Credit | the Revolving Credit Facility |  |  |  |  |  |  |
Line of Credit Facility [Abstract] |  |  |  |  |  |  |
Outstanding letters of credit |  |  | 4,100,000 |  | 4,100,000 |  |
Eurocurrency Rate | Credit facility | Line of Credit | the Revolving Credit Facility | Minimum |  |  |  |  |  |  |
Line of Credit Facility [Abstract] |  |  |  |  |  |  |
Applicable margins based on company's leverage ratio, percentage |  | 1.00% |  |  |  |  |
Eurocurrency Rate | Credit facility | Line of Credit | the Revolving Credit Facility | Maximum |  |  |  |  |  |  |
Line of Credit Facility [Abstract] |  |  |  |  |  |  |
Applicable margins based on company's leverage ratio, percentage |  | 1.375% |  |  |  |  |
Base rate | Credit facility | Line of Credit | the Revolving Credit Facility | Minimum |  |  |  |  |  |  |
Line of Credit Facility [Abstract] |  |  |  |  |  |  |
Applicable margins based on company's leverage ratio, percentage |  | 0.00% |  |  |  |  |
Base rate | Credit facility | Line of Credit | the Revolving Credit Facility | Maximum |  |  |  |  |  |  |
Line of Credit Facility [Abstract] |  |  |  |  |  |  |
Applicable margins based on company's leverage ratio, percentage |  | 0.375% |  |  |  |  |
ABL | Unsecured debt | 2.150% Senior Unsecured Notes Due December 2030 |  |  |  |  |  |  |
Line of Credit Facility [Abstract] |  |  |  |  |  |  |
Aggregate principal amount | $ 500,000,000 |  |  |  |  |  |
Interest rate (percent) | 2.15% |  |  |  |  |  |
Debt issuance price as a percentage of face value (percent) | 99.737% |  |  |  |  |  |
Deferred issuance costs | $ 4,800,000 |  |  |  |  |  |
Term of instrument | 10 years |  |  |  |  |  |
Debt outstanding |  |  | $ 494,800,000 |  | $ 494,800,000 |  |

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