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Stock-Based Compensation (Narrative) (Details) - USD ($) |  | 3 Months Ended | 6 Months Ended
--- | --- | --- | ---
Jan. 14, 2022 | Feb. 28, 2022 | Nov. 30, 2021 | Feb. 28, 2021 | Nov. 30, 2020 | Feb. 28, 2022
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |
Common stock issued from treasury stock |  |  |  |  |  | 245,157
Shares withheld for tax |  |  |  |  |  | 86,125
Shares withheld for tax, fair value |  |  |  |  |  | $ 3,500,000
Vesting period of awards |  |  |  |  |  | 1 year
Employee Stock Purchase Plan [Member] |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |
Price of common stock as a percent of the average fair market value |  |  |  |  |  | 85.00%
Shares issued to employee stock purchase plan participants |  | 8,667 |  |  |  | 18,046
Common Stock [Member] |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |
Cost of common stock issued from treasury |  |  |  |  |  |
Restricted Stock Awards [Member] |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |
Whole-share grant per eligible director |  |  |  |  |  | $ 110,000
Time-Based Award [Member] | Fiscal 2022 Long Term Incentive Plan Award [Member] |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |
Percent of performance award to be granted |  |  |  |  |  | 25.00%
Shares may be awarded |  |  |  |  |  | 24,649
Performance-Based Award [Member] |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |
Shares issued under terms of the award |  |  |  |  |  | 73,929
Performance-Based Award [Member] | Fiscal 2022 Long Term Incentive Plan Award [Member] |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |
Percent of performance-based objectives |  | 100.00% |  |  |  | 100.00%
Performance-Based Award [Member] | Common Stock [Member] | 2022 Omnibus Plan [Member] |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |
Authorized additional shares of common stock for issuance | 1,000,000 |  |  |  |  |
Tranche One and Two [Member] | Performance-Based Award [Member] | Fiscal 2022 Long Term Incentive Plan Award [Member] |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |
Shares may be awarded |  |  |  |  |  | 147,840
Tranche One and Two [Member] | Performance-Based Award [Member] | Minimum [Member] | Fiscal 2022 Long Term Incentive Plan Award [Member] |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |
Percent of performance award to be granted |  |  |  |  |  | 50.00%
Tranche One and Two [Member] | Performance-Based Award [Member] | Maximum [Member] | Fiscal 2022 Long Term Incentive Plan Award [Member] |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |
Percent of performance award to be granted |  |  |  |  |  | 200.00%

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