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Revenue Recognition (Narrative) (Details) - USD ($) | 12 Months Ended
--- | ---
Aug. 31, 2022 | Aug. 31, 2021 | Aug. 31, 2020
Disaggregation of Revenue [Line Items] |  |  |
Accrued liabilities | $ 27,161,000 | $ 25,658,000 |
Total net sales | 518,820,000 | 488,109,000 | $ 408,498,000
Refund liability | 400,000 | 500,000 |
Contract assets | 0 | 0 |
Cash Discounts [Member] |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Total net sales | 5,200,000 | 4,900,000 |
Accounting Standards Update 2014-09 [Member] |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Contract liabilities | 5,000,000.0 | 3,700,000 |
Contract liabilities recognized to revenue | 3,700,000 |  |
Accounting Standards Update 2014-09 [Member] | Rebate/Other Discounts [Member] |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Accrued liabilities | 8,700,000 | 8,400,000 |
Total net sales | 32,800,000 | 28,700,000 |
Accounting Standards Update 2014-09 [Member] | Cash Discounts [Member] |  |  |
Disaggregation of Revenue [Line Items] |  |  |
Allowance for cash discount | $ 500,000 | $ 500,000 |

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