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Segment Information - Reconciliation of Earnings (Loss) from Operations to Earnings Before Income Tax and Earnings from Unconsolidated Affiliates (Detail) - USD ($) $ in Millions | 3 Months Ended | 9 Months Ended
--- | --- | ---
May 31, 2024 | May 31, 2023 | May 31, 2024 | May 31, 2023
Segment Reporting [Abstract] |  |  |  |
Earnings from operations | $ 72.3 | $ 50.7 | $ 200.7 | $ 113.3
Interest and foreign exchange | 24.7 | 22.8 | 72.5 | 64.0
Earnings before income tax and earnings from unconsolidated affiliates | $ 47.6 | $ 27.9 | $ 128.2 | $ 49.3

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