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Fair Value Measurements (Narrative) (Details) € in Millions | 3 Months Ended |  |
--- | --- | --- | ---
Nov. 30, 2024 USD ($) | Nov. 30, 2023 USD ($) | Nov. 30, 2028 EUR (€) | Nov. 30, 2027 USD ($)
Notional amount | $ 139,300,000 |  |  |
Foreign translation gains (losses) | 1,900,000 | $ 600,000 |  |
Forecast [Member] |  |  |  |
Notional amount |  |  | € 140.1 | $ 150,000,000
Fair Value, Measurements, Nonrecurring [Member] |  |  |  |
Assets fair value adjustments | 0 | 0 |  |
Liabilities fair value adjustments | $ 0 | $ 0 |  |

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