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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 |  |  |  |  |

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