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Summary of Significant Accounting Policies - Summary of Separation Related Adjustments (Detail) - USD ($)
Sep. 30, 2022
Jun. 30, 2022
Mar. 31, 2022
Jan. 01, 2022
Dec. 31, 2021
Sep. 30, 2021
Jun. 30, 2021
Mar. 31, 2021
Dec. 31, 2020
Dec. 31, 2019
Dec. 31, 2018
Current:                      
Cash and cash equivalents $ 77,941,371       $ 14,376,523       $ 0    
Related party receivable 205,358       220,000       0    
Other current assets 2,974,478       6,274,397       4,110    
Total current assets 333,113,402       20,870,920       49,548    
Capitalized software, net 0       699,753 $ 2,747,944 $ 201,876 $ 106,607 23,443 $ 16,005  
Total assets 333,532,123       21,570,673       72,991    
Current liabilities                      
Accounts payable 2,963,007       877,641       846,988    
Related party payables 14,394,340       8,642,340       0    
Derivative financial instruments 6,982,500       32,226       0    
Other payables 3,677,865       616,156       199,278    
Total current liabilities 28,017,712       10,168,363       1,046,266    
Other noncurrent payables 838,845       702,921       40,578    
Total liabilities 28,856,557       10,871,284       1,086,844    
Net parent equity                      
Net parent investment         10,731,615       (1,059,291)    
Accumulated other comprehensive income (loss) 0       (32,226)       45,438    
Total net parent equity 304,675,566 $ 307,650,450 $ 746,537   10,699,389 $ 13,877,344 $ (1,927,301) $ (569,476) (1,013,853) $ (479,205) $ (321,207)
Total liabilities and net parent equity $ 333,532,123       21,570,673       72,991    
Separation-related adjustment                      
Current:                      
Cash and cash equivalents       $ (8)              
Related party receivable       0              
Other current assets       (8,567)              
Total current assets       (8,575)              
Capitalized software, net       (699,753)              
Total assets       (708,328)              
Current liabilities                      
Accounts payable       (718,232)              
Related party payables       1,110,032              
Derivative financial instruments       (32,226)              
Other payables       (94,361)              
Total current liabilities       265,213              
Other noncurrent payables       (297,921)              
Total liabilities       (32,708)              
Net parent equity                      
Net parent investment       (707,846)              
Accumulated other comprehensive income (loss)       32,226              
Total net parent equity       (675,620) (675,620)            
Total liabilities and net parent equity       (708,328)              
Adjusted Balance                      
Current:                      
Cash and cash equivalents       14,376,515              
Related party receivable       220,000              
Other current assets       6,265,830              
Total current assets       20,862,345              
Capitalized software, net       0              
Total assets       20,862,345              
Current liabilities                      
Accounts payable       159,409              
Related party payables       9,752,372              
Derivative financial instruments       0              
Other payables       521,795              
Total current liabilities       10,433,576              
Other noncurrent payables       405,000              
Total liabilities       10,838,576              
Net parent equity                      
Net parent investment       10,023,769              
Accumulated other comprehensive income (loss)       0              
Total net parent equity       10,023,769 $ 10,023,769       $ (1,013,853)    
Total liabilities and net parent equity       $ 20,862,345