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Retirement Plans (Schedules of Net Benefit Costs) (Details) - USD ($) $ in Thousands | 12 Months Ended
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Aug. 31, 2022 | Aug. 31, 2021 | Aug. 31, 2020
Retirement Benefits [Abstract] |  |  |
Interest cost | $ 156 | $ 146 | $ 208
Net amortization and deferral | 255 | 269 | 226
Total | $ 411 | $ 415 | $ 434

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- Definition Amount included in accumulated other comprehensive income (loss) for gain (loss) of defined benefit plan expected to be recognized in net periodic benefit (cost) credit for fiscal year following most recent annual statement of financial position. + References Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef -Publisher FASB -Name Accounting Standards Codification -Topic 715 -SubTopic 20 -Section 50 -Paragraph 1 -URI https://asc.fasb.org/extlink&oid=123447040&loc=d3e1928-114920 + Details
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