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Stock-Based Compensation (Narrative) (Details) |  |  | 3 Months Ended | 6 Months Ended
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Jan. 25, 2019 USD ($) $ / shares shares | Oct. 01, 2018 item shares | Feb. 28, 2019 USD ($) shares | Feb. 28, 2019 USD ($) shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |
Shares issued under terms of the award |  |  | 39,803 | 50,932
Number of shares reduced, withheld for minimum statutory taxes |  |  | 241 |
Fiscal 2019 Long Term Incentive Plan [Member] |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |
Number of tranches | item |  | 3 |  |
Life of awards |  | 3 years |  |
Expiration date |  | Aug. 31, 2021 |  |
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 |  |  | 10,730 | 21,218
Director [Member] | Fiscal 2019 Restricted Stock Award Plan [Member] |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |
Whole-share grant per eligible director | $ |  |  |  | $ 100,000
Vesting period of awards |  |  |  | 1 year
Restricted Stock Awards [Member] | Fiscal 2019 Restricted Stock Award Plan [Member] |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |
Unrecognized compensation expense | $ |  |  | $ 600,000 | $ 600,000
Time-Based Award [Member] | Fiscal 2019 Time-Based Award Plan [Member] |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |
Price per share | $ / shares | $ 24.54 |  |  |
Vesting period of awards | 2 years |  |  |
Fair value of shares awarded | $ | $ 300,000 |  |  |
Shares issued under terms of the award | 11,915 |  |  |
Time-Based Award [Member] | Fiscal 2019 Long Term Incentive Plan [Member] |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |
Number of tranches | item |  | 1 |  |
Performance-Based Award [Member] | Fiscal 2019 Long Term Incentive Plan [Member] |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |
Number of tranches | item |  | 2 |  |
Tranche One [Member] | Time-Based Award [Member] | Fiscal 2019 Long Term Incentive Plan [Member] |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |
Percent of shares plan participants are entitled to |  | 25.00% |  |
Vesting period of awards |  | 3 years |  |
Shares issued under terms of the award |  | 36,470 |  |
Tranche Two and Three [Member] | Performance-Based Award [Member] | Fiscal 2019 Long Term Incentive Plan [Member] |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |
Percent of performance-based objectives |  | 100.00% |  |
Shares issued under terms of the award |  | 109,409 |  |
Tranche Two and Three [Member] | Performance-Based Award [Member] | Minimum [Member] | Fiscal 2019 Long Term Incentive Plan [Member] |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |
Percent of performance award to be granted |  | 50.00% |  |
Tranche Two and Three [Member] | Performance-Based Award [Member] | Maximum [Member] | Fiscal 2019 Long Term Incentive Plan [Member] |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |
Percent of performance award to be granted |  | 200.00% |  |
New shares granted |  | 218,818 |  |

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