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Convertible Preferred Stock (Details) - USD ($) |  |  | 3 Months Ended | 6 Months Ended
--- | --- | --- | --- | ---
Oct. 19, 2021 | Oct. 18, 2021 | Jan. 31, 2022 | Jan. 31, 2022
Class of Stock [Line Items] |  |  |  |
Series A convertible preferred stock, shares authorized (in shares) |  |  | 125,000 | 125,000
Series A convertible preferred stock, par value per share (in dollars per share) |  |  | $ 0.10 | $ 0.10
Convertible preferred stock, aggregate purchase price |  |  |  | $ 100,000,000
Issuance of convertible preferred stock | 100,000 |  |  | 100,000
Optional repurchase trigger, percent |  | 19.99% |  |
Current redemption value |  |  | $ 101,867,000 | $ 101,867,000
Convertible preferred stock, accrued dividends |  |  | 549,000 | 549,000
Green Shoe |  |  |  |
Class of Stock [Line Items] |  |  |  |
Long-term debt |  | $ 1,005,000 |  |
Convertible Preferred Stock |  |  |  |
Class of Stock [Line Items] |  |  |  |
Series A convertible preferred stock, shares authorized (in shares) |  | 125,000 |  |
Series A convertible preferred stock, par value per share (in dollars per share) |  | $ 0.10 |  |
Convertible preferred stock, aggregate purchase price | $ 25,000,000 | $ 125,000,000 |  |
Convertible preferred stock, aggregate purchase price, price per share (in dollars per share) |  | $ 1,000 |  |
Liquidation preference per share (in dollars per share) | $ 24.50 | $ 1,000 |  |
Liquidation preference, adjusted EBITDA threshold achievement, per share (in dollars per share) | $ 26.00 |  |  |
Temporary equity, liquidation preference, adjusted EBITDA threshold, amount | $ 76,000,000 |  |  |
Dividend rate, percent | 6.50% |  |  |
Dividend rate, per-dollar-amount, maximum | $ 0.10 |  |  |
Proceeds from initial issuance, net of issuance costs |  |  | 4,007,000 |
Carrying amount, attributable to parent |  |  | 100,000,000 | 100,000,000
Current redemption value |  |  | 101,867,000 | 101,867,000
Dividend paid-in-kind |  |  |  | 1,318,000
Convertible preferred stock, accrued dividends |  |  | 549,000 | 549,000
Carrying value adjustment in the period |  |  | 6,879,000 |
Convertible Preferred Stock | Green Shoe |  |  |  |
Class of Stock [Line Items] |  |  |  |
Liquidation preference per share (in dollars per share) | $ 32.00 |  |  |
Fair value of the Green Shoe liability |  |  | 303,000 | 303,000
Benefit from remeasurement of Green Shoe liability |  |  | (398,000) | (702,000)
IPO | Convertible Preferred Stock |  |  |  |
Class of Stock [Line Items] |  |  |  |
Convertible preferred stock, aggregate purchase price | $ 100,000,000 |  |  |
Green Shoe Option | Convertible Preferred Stock |  |  |  |
Class of Stock [Line Items] |  |  |  |
Carrying amount, attributable to parent |  |  | $ 25,000,000 | $ 25,000,000

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