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Share-Based Compensation - Additional Information (Details) - USD ($)
$ in Thousands
3 Months Ended
Mar. 31, 2022
Mar. 31, 2021
Jun. 30, 2021
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]      
Unrecognized pre-tax noncash compensation $ 35,300    
Allocated share based compensation expense $ 1,859 $ 562  
Expected weighted average period 3 years 6 months    
Cost of Services [Member]      
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]      
Allocated share based compensation expense $ 274 33  
Selling, General and Administrative Expenses [Member]      
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]      
Allocated share based compensation expense 1,381 475  
Product and Technology Expense [Member]      
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]      
Allocated share based compensation expense $ 204 $ 54  
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
Share available for issuance 14,315,549    
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 $ 21,200    
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 $ 8,600    
Restricted Stock Units [Member]      
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]      
Unrecognized pre-tax noncash compensation $ 5,500