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Stockholders' equity - Narrative (Details)
1 Months Ended 3 Months Ended 9 Months Ended 12 Months Ended
Aug. 06, 2022
USD ($)
shares
May 20, 2022
USD ($)
Aug. 24, 2021
$ / shares
shares
Feb. 28, 2022
shares
Sep. 30, 2022
USD ($)
award
$ / shares
shares
Dec. 31, 2021
USD ($)
award
$ / shares
shares
Sep. 30, 2021
USD ($)
Mar. 31, 2021
$ / shares
shares
Sep. 30, 2022
USD ($)
vote
period
award
$ / shares
shares
Sep. 30, 2021
USD ($)
Dec. 31, 2020
USD ($)
shares
Dec. 31, 2018
installment
shares
Jul. 11, 2022
$ / shares
Oct. 29, 2021
shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                            
Preferred stock, shares authorized (in shares) | shares         50,000,000 50,000,000     50,000,000          
Preferred stock, par value (in dollars per share) | $ / shares         $ 0.00001 $ 0.00001     $ 0.00001          
Number of votes per common stock | vote                 1          
Equity exchange participation rate         97.00%       97.00%          
Stock-based compensation in capitalized costs $ 45,700,000               $ 4,310,000 $ 1,451,000        
Award vesting date                       6 years    
Aggregate intrinsic value of options exercised in period                 11,000,000 46,700,000        
Unrecognized compensation costs, options         $ 7,700,000       $ 7,700,000          
Total shares of common stock reserved (in shares) | shares         18,289,709 34,559,618     18,289,709          
Stock-based compensation         $ 24,969,000   $ 7,220,000   $ 53,043,000 23,704,000        
Stock-based compensation capitalized as a software         1,600,000   500,000   $ 4,200,000 1,500,000        
Tender Offer to Sell Common Stock to an Investor                            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                            
Number of shares sold in initial public offering (in shares) | shares               236,086            
Initial public offering, price per share (in dollars per share) | $ / shares               $ 23.75            
Stock-based compensation                   1,600,000        
Stock Options And SARs                            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                            
Exercise price range options and non options (in dollars per share) | $ / shares                         $ 11.13  
Restricted Stock Units (RSUs)                            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                            
Conversion basis                         1  
Shares exchanged | shares 6,958,544                          
Unrecognized compensation costs, period for recognition (in years)                 2 years 10 months 24 days          
Unrecognized compensation costs, excluding options         $ 233,600,000       $ 233,600,000          
Restricted stock issued for business combination, grant date fair value (in dollars per share) | $ / shares         $ 17.60 $ 27.64     $ 17.60          
Restricted Stock Units (RSUs) | Minimum                            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                            
Award vesting date 2 years                          
Award vesting period (in years)                 3 years          
Restricted Stock Units (RSUs) | Maximum                            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                            
Award vesting date 3 years                          
Award vesting period (in years)                 4 years          
Stock options                            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                            
Contractual term (in years)                 10 years          
Award vesting period (in years)                 4 years          
Unrecognized compensation costs, period for recognition (in years)                 1 year          
Stock Appreciation Rights                            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                            
Contractual term (in years)                 10 years          
Award vesting period (in years)                 4 years          
Unrecognized compensation costs, period for recognition (in years)                 1 year 2 months 12 days          
Granted (in shares) | shares                 0          
Unrecognized compensation costs, excluding options         $ 200,000       $ 200,000          
Canceled (in shares) | shares                 1,566          
Performance-Based Awards                            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                            
Contractual term (in years)                 10 years          
Granted (in shares) | shares                     350,000 50,000    
Unrecognized compensation costs, period for recognition (in years)                 2 years 7 months 6 days          
Number of Performance-Based Awards outstanding | award         1 2     1          
Number of equal monthly installments | installment                       48    
Unrecognized compensation costs         $ 100,000       $ 100,000          
Performance-Based Awards | Share-based Payment Arrangement, Tranche One                            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                            
Award vesting rights, percentage                     50.00%      
Required annual recurring revenues, vesting term           $ 230,000,000         $ 230,000,000      
Canceled (in shares) | shares       175,000                    
Performance-Based Awards | Share-based Payment Arrangement, Tranche Two                            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                            
Stock-based compensation in capitalized costs                 $ 900,000          
Award vesting rights, percentage                     50.00%      
Required annual recurring revenues, vesting term                     $ 330,000,000      
Canceled (in shares) | shares       175,000                    
Contingently issuable shares under ESPP                            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                            
Unrecognized compensation costs, period for recognition (in years)                 1 year 7 months 6 days          
Unrecognized compensation costs, excluding options         7,300,000       $ 7,300,000          
Total shares of common stock reserved (in shares) | shares                           2,800,000
Percent of outstanding shares                 1.00%          
ESPP discount percentage from market price, beginning of purchase period                 15.00%          
Consecutive offering period                 24 months          
Number of purchase periods | period                 4          
Purchase period                 6 months          
ESPP purchase price of common stock, percent of market price                 85.00%          
Shares issued under ESPP (in shares) | shares                 525,037          
Incremental compensation cost   $ 3,400,000                        
Restricted stock | CorpU                            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                            
Unrecognized compensation costs, period for recognition (in years)     3 years           1 year 10 months 24 days          
Unrecognized compensation costs, excluding options         1,300,000       $ 1,300,000          
Stock-based compensation         $ 200,000   $ 0   $ 500,000 $ 0        
Restricted stock issued for business combination (in shares) | shares     61,300                      
Restricted stock issued for business combination, grant date fair value (in dollars per share) | $ / shares     $ 34.14                      
2021 Stock incentive Plan                            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                            
Number of shares reserved for future issuance (in shares) | shares         13,800,000       13,800,000          
Annual percentage increase, term                 0.05          
Granted (in shares) | shares                 0