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Inventories (Schedule of Inventories) (Details) - USD ($) $ in Thousands | Feb. 28, 2023 | Aug. 31, 2022 | Feb. 28, 2022
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Inventory Disclosure [Abstract] |  |  |
Raw materials and supplies | $ 89,968 | $ 93,469 | $ 86,010
Work in process | 9,837 | 12,603 | 11,620
Finished goods and purchased parts, net | 103,067 | 110,022 | 96,724
Total inventory value before LIFO adjustment | 202,872 | 216,094 | 194,354
Less adjustment to LIFO value | (24,169) | (22,318) | (7,026)
Inventories, net | $ 178,703 | $ 193,776 | $ 187,328

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