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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