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Share-Based Compensation - Additional Information (Details) - USD ($)
$ in Thousands
1 Months Ended 3 Months Ended 8 Months Ended 9 Months Ended
Jan. 31, 2020
Sep. 30, 2021
Sep. 30, 2020
Sep. 30, 2020
Sep. 30, 2021
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]          
Unrecognized pre-tax noncash compensation   $ 33,100     $ 33,100
Allocated share based compensation expense $ 3,976 1,343 $ 530 $ 1,331 $ 4,569
ESPP percentage         15.00%
Expected weighted average period         3 years 3 months 18 days
Cost of Services [Member]          
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]          
Allocated share based compensation expense 156 3 28 69 $ 76
Selling, General and Administrative Expenses [Member]          
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]          
Allocated share based compensation expense 3,820 1,285 452 1,135 4,317
Product and Technology Expense [Member]          
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]          
Allocated share based compensation expense 0 $ 55 $ 50 $ 127 $ 176
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   11,339,126     11,339,126
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
Predecessor Plan          
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]          
Allocated share based compensation expense $ 3,900        
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   $ 22,100     $ 22,100
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   10,400     $ 10,400
Restricted Stock Units [Member]          
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]          
Unrecognized pre-tax noncash compensation   $ 600     $ 600
Class B Awards [Member]          
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]          
Vesting percentage 20.00%        
Vesting period 5 years        
Stock options plan expiration period 10 years        
Profit interest unit, shares 1,700,051        
Class C Awards [Member]          
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]          
Vesting percentage 50.00%        
Vesting period 5 years        
Stock options plan expiration period 10 years        
Profit interest unit, shares 12,621,955        
Class C Awards [Member] | Share-based Payment Arrangement, Tranche One          
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]          
Vesting percentage 20.00%