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Stock-based Compensation and Treasury Stock (Details) - USD ($) $ / shares in Units, $ in Thousands |  | 1 Months Ended | 9 Months Ended | 12 Months Ended
--- | --- | --- | --- | ---
Feb. 01, 2022 | Mar. 31, 2022 | Dec. 31, 2021 | Jan. 31, 2021 | Jul. 31, 2022 | Jul. 31, 2021 | Oct. 31, 2021
Class of Stock [Line Items] |  |  |  |  |  |  |
Authorized amount under share repurchase program |  |  |  |  |  |  | $ 10,000
Shares repurchased (in shares) |  |  |  |  | 0 |  |
Management |  |  |  |  |  |  |
Class of Stock [Line Items] |  |  |  |  |  |  |
Shares exchanged (in shares) |  |  |  |  | 68,080 | 46,993 |
Fair value of common stock for the payment of payroll taxes associated with the vesting of shares under stock-based compensation programs |  |  |  |  | $ 1,086 | $ 701 |
Stock-Based Compensation |  |  |  |  |  |  |
Class of Stock [Line Items] |  |  |  |  |  |  |
Vesting period |  |  |  |  | 2 years |  |
Stock-Based Compensation | Management |  |  |  |  |  |  |
Class of Stock [Line Items] |  |  |  |  |  |  |
Shares granted (in shares) |  |  |  |  |  |  | 0
Stock-Based Compensation | Key Executives |  |  |  |  |  |  |
Class of Stock [Line Items] |  |  |  |  |  |  |
Vesting period |  |  |  |  | 3 years |  |
Shares granted (in shares) |  |  | 70,000 |  |  |  |
Common stock per share (in dollars per share) |  |  | $ 14.96 |  |  |  |
Shares issued, shares, share-based payment arrangement, forfeited (in shares) | 15,000 |  |  |  |  |  |
Share-based compensation expense |  |  |  |  | $ 823 |  |
Stock-Based Compensation | Key Executives | Minimum |  |  |  |  |  |  |
Class of Stock [Line Items] |  |  |  |  |  |  |
Vesting period |  |  |  |  | 3 years |  |
Stock-Based Compensation | Key Executives | Maximum |  |  |  |  |  |  |
Class of Stock [Line Items] |  |  |  |  |  |  |
Vesting period |  |  |  |  | 5 years |  |
Stock-Based Compensation | Non-Employee Directors |  |  |  |  |  |  |
Class of Stock [Line Items] |  |  |  |  |  |  |
Shares granted (in shares) |  | 46,279 |  | 27,815 |  |  |
Share-based compensation expense |  |  |  |  | $ 627 | $ 469 |

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