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Share-Based Compensation - Additional Information (Details) - USD ($)
$ in Thousands
3 Months Ended 6 Months Ended
Jun. 30, 2022
Jun. 30, 2021
Jun. 30, 2022
Jun. 30, 2021
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]        
Unrecognized pre-tax noncash compensation $ 38,100   $ 38,100  
Allocated share based compensation expense 1,943 $ 2,664 $ 3,802 $ 3,226
Expected weighted average period     3 years 4 months 24 days  
Cost of Services [Member]        
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]        
Allocated share based compensation expense 277 41 $ 551 73
Selling, General and Administrative Expenses [Member]        
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]        
Allocated share based compensation expense 1,354 2,556 2,735 3,032
Product and Technology Expense [Member]        
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]        
Allocated share based compensation expense $ 312 $ 67 $ 516 $ 121
Maximum        
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]        
ESPP percentage     15.00%  
IPO [Member] | Minimum        
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]        
Vesting period     4 years  
IPO [Member] | Maximum        
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]        
Vesting period     5 years  
2021 Equity Plan [Member]        
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]        
Stock options plan expiration period     10 years  
Common stock, reserved for future issuance   17,525,000   17,525,000
Share available for issuance 13,711,950   13,711,950  
Successor Plan        
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]        
Stock options plan expiration period     10 years  
Number of units, issued       0
Share-based Payment Arrangement, Option        
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]        
Vesting percentage     50.00%  
Vesting period     5 years  
Unrecognized pre-tax noncash compensation $ 22,600   $ 22,600  
Share-based Payment Arrangement, Option | Share-based Payment Arrangement, Tranche One | 2021 Equity Plan [Member]        
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]        
Vesting percentage     20.00%  
Vesting period     5 years  
Share-based Payment Arrangement, Option | Successor Plan        
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]        
Vesting percentage     50.00%  
Share-based Payment Arrangement, Option | Successor Plan | Share-based Payment Arrangement, Tranche One        
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]        
Vesting percentage     20.00%  
Vesting period     5 years  
Share-based Payment Arrangement, Option | Successor Plan | Share-based Payment Arrangement, Tranche Two        
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]        
Vesting period     5 years  
Restricted Stock Agreements [Member]        
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]        
Unrecognized pre-tax noncash compensation 8,300   $ 8,300  
Restricted Stock Units [Member]        
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]        
Unrecognized pre-tax noncash compensation $ 7,200   $ 7,200