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Share-Based Compensation (Narrative) (Details) $ in Thousands | 12 Months Ended
--- | ---
Aug. 31, 2023 USD ($) Item shares | Aug. 31, 2022 USD ($) shares | Aug. 31, 2021 USD ($) shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Pre-tax total unrecognized compensation cost related to nonvested share-based compensation | $ | $ 8,200 |  |
Weighted average period to be recognized | 1 year 9 months 18 days |  |
Outstanding stock options vested | 19,617 | 47,222 | 38,954
Shares outstanding | 118,470 | 97,140 |
Share withheld for payroll tax obligations | $ | $ 2,471 | $ 1,181 | $ 1,269
Restricted Stock Units [Member] |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Vesting period | 3 years |  |
Percentage vested per year | 33.00% |  |
Fair value vested | $ | $ 3,700 | $ 4,100 |
Number of shares vested | 24,342 |  |
Restricted Stock Units Settled In Cash [Member] |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Shares outstanding | 4,039 | 4,412 | 4,656
Performance Stock Units [Member] |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Vesting period | 3 years |  |
Number of shares vested | 9,344 |  | 0
Performance Stock Units [Member] | Common Stock [Member] |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Number of shares vested | 18,688 | 18,998 |
Performance Stock Units [Member] | Minimum [Member] |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Percentage of awards actually earned | 0.00% |  |
Performance Stock Units [Member] | Maximum [Member] |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Percentage of awards actually earned | 2.00% |  |
2015 Long-Term Incentive Plan [Member] |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Plan effective date | Jan. 26, 2015 |  |
Maximum number of shares authorized | 626,968 |  |
Number of shares available | 217,146 |  |
Stock award ratio | Item | 1 |  |
2015 Long-Term Incentive Plan [Member] | Employee Stock Option |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Stock option expire, years | 10 years |  |
Vesting period | 4 years |  |
Non Employee Directors [Member] | Restricted Stock Units [Member] |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Vesting period | 9 months |  |

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