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Stockholders' Equity, Employee Stock Purchase Plan (Details) - USD ($)
$ in Thousands
12 Months Ended
Feb. 23, 2021
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
Employee Stock Purchase Plan [Abstract]        
Equity-based compensation   $ 10,013 $ 5,741 $ 2,213
Weighted Average Assumptions [Abstract]        
Dividend yield   0.00%    
Risk-free interest rate   2.50%    
Volatility   57.40%    
Expected life   6 months    
Employee Stock Purchase Plan [Member]        
Employee Stock Purchase Plan [Abstract]        
Equity-based compensation   $ 200    
Shares purchased under employee stock purchase plan   0    
Stock to be purchased under ESPP   $ 500    
Common Class A [Member]        
Employee Stock Purchase Plan [Abstract]        
Percentage of outstanding shares, ESPP issuance 1.00%      
Common Class A [Member] | Maximum [Member]        
Employee Stock Purchase Plan [Abstract]        
ESPP shares issuance (in shares) 299,505