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Stock-Based Compensation - Restricted stock (Details)
1 Months Ended 12 Months Ended
Jan. 27, 2020
item
shares
Jan. 31, 2020
item
$ / shares
shares
Sep. 30, 2022
USD ($)
Sep. 30, 2021
USD ($)
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Stock-based compensation expense | $     $ 7,710,804 $ 4,887,287
MTTR, LLC ("MTTR")        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Number of principals | item 4      
Shares issued during period | shares 7,244,739      
Restricted Stock | MTTR, LLC ("MTTR")        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Number of principals | item   4    
Shares issued during period | shares   7,244,739    
Share repurchase price | $ / shares   $ 0.01    
Grant date fair value of share | $ / shares   $ 0.54    
Explicit service period   4 years 9 months 18 days    
Stock-based compensation expense | $     $ 2,003,946 $ 607,060
Restricted Stock | MTTR, LLC ("MTTR") | Minimum        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Repurchase right lapses on shares (as a percent)   50.00%    
Restricted Stock | MTTR, LLC ("MTTR") | Maximum        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Repurchase right lapses on shares (as a percent)   100.00%