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Summary of Significant Accounting Policies - Additional Information (Details)
$ in Thousands
 1 Months Ended 3 Months Ended 8 Months Ended 9 Months Ended 11 Months Ended 12 Months Ended
Dec. 31, 2020
USD ($)
shares
Jan. 31, 2020
USD ($)
Customer
shares
Sep. 30, 2021
USD ($)
Customer
Sep. 30, 2020
USD ($)
Customer
Sep. 30, 2020
USD ($)
Customer
Sep. 30, 2021
USD ($)
Customer
Dec. 31, 2020
USD ($)
Customer
shares
Dec. 31, 2019
USD ($)
Customer
shares
Summary Of Significant Accounting Policies [Line Items]                
Depreciation and amortization   $ 2,105 $ 35,812 $ 36,756 $ 97,815 $ 106,493 $ 135,057 $ 25,953
Gain (loss) on foreign currency exchange rates   $ 82     $ 38 281 31 110
Outstanding checks in excess of funds on deposits $ 0           0 0
Impairment on carrying values of long-lived assets             $ 0 $ 0
Income Tax Examination, Description The Company is no longer subject to U.S. federal examinations by tax authorities for years before 2012, and state, local, and non-U.S. income tax examinations by tax authorities before 2004.           a tax position must be more likely than not to be sustained upon examination by taxing authorities. The amount recognized is measured as the largest benefit that has a greater than 50% likelihood of being realized upon settlement.  
Goodwill [Member]                
Summary Of Significant Accounting Policies [Line Items]                
Goodwill impairment           $ 0 $ 0  
Share-based Payment Arrangement [Member] | Successor Plan                
Summary Of Significant Accounting Policies [Line Items]                
Share based payment arrangement, Number of shares available for grant | shares 8,400,000           8,400,000  
Share based compensation by share based arrangement options cumulatively called for | shares 0           0  
Share based compensation by share based arrangement options granted during the period | shares   0           0
No Customers [Member] | Customer Concentration Risk | Revenue [Member]                
Summary Of Significant Accounting Policies [Line Items]                
Concentration risk, percentage   10.00% 10.00%     10.00% 10.00% 10.00%
Concentration risk, number of customers | Customer   0 0     0   0
No Customers [Member] | Customer Concentration Risk | Accounts Receivable [Member]                
Summary Of Significant Accounting Policies [Line Items]                
Concentration risk, percentage   10.00% 10.00% 10.00% 10.00% 10.00% 10.00% 10.00%
Concentration risk, number of customers | Customer   0 0 0 0 0 0 0
One Customer [Member] | Customer Concentration Risk | Revenue [Member]                
Summary Of Significant Accounting Policies [Line Items]                
Concentration risk, percentage       12.00% 11.00%   12.00%  
Concentration risk, number of customers | Customer       1 1   1  
Selling, General and Administrative Expenses | Predecessor Period [Member]                
Summary Of Significant Accounting Policies [Line Items]                
Advertising expenses   $ 100           $ 1,800
Selling, General and Administrative Expenses | Successor Period [Member]                
Summary Of Significant Accounting Policies [Line Items]                
Advertising expenses             $ 600  
Software acquired by business combination [Member]                
Summary Of Significant Accounting Policies [Line Items]                
Property plant and equipment useful life             5 years  
Other Comprehensive Income (Loss)                
Summary Of Significant Accounting Policies [Line Items]                
Gain (loss) on foreign currency exchange rates   0 $ (3,100) $ 7,000 $ (1,200) $ (1,600) $ 2,500 (300)
Operations and Comprehensive Income (Loss)                
Summary Of Significant Accounting Policies [Line Items]                
Gain (loss) on foreign currency exchange rates   100 $ 200 $ 500 $ (400) $ (100) $ (300) 300
Minimum | Leasehold improvements [Member]                
Summary Of Significant Accounting Policies [Line Items]                
Property plant and equipment useful life             1 year  
Minimum | Data Processing Equipment [Member]                
Summary Of Significant Accounting Policies [Line Items]                
Property plant and equipment useful life             3 years  
Minimum | Furniture and equipment [Member]                
Summary Of Significant Accounting Policies [Line Items]                
Property plant and equipment useful life             3 years  
Maximum | Leasehold improvements [Member]                
Summary Of Significant Accounting Policies [Line Items]                
Property plant and equipment useful life             15 years  
Maximum | Data Processing Equipment [Member]                
Summary Of Significant Accounting Policies [Line Items]                
Property plant and equipment useful life             10 years  
Maximum | Furniture and equipment [Member]                
Summary Of Significant Accounting Policies [Line Items]                
Property plant and equipment useful life             10 years  
Customer Lists                
Summary Of Significant Accounting Policies [Line Items]                
Useful life     14 years 14 years 14 years 14 years 14 years  
Depreciation and amortization   $ 800 $ 16,400 $ 17,800 $ 47,400 $ 49,100 $ 65,200 $ 11,100
Amortization Period   13 years 3 months 18 days            
Customer Lists | Minimum                
Summary Of Significant Accounting Policies [Line Items]                
Useful life   7 years           7 years
Customer Lists | Maximum                
Summary Of Significant Accounting Policies [Line Items]                
Useful life   14 years           14 years
Trade Name [Member]                
Summary Of Significant Accounting Policies [Line Items]                
Useful life     20 years 20 years 20 years 20 years 20 years  
Depreciation and amortization   $ 0 $ 2,000 $ 2,000 $ 5,400 $ 6,000 $ 7,500 $ 0
Trade Name [Member] | Customer Lists                
Summary Of Significant Accounting Policies [Line Items]                
Impairment of intangible assets           $ 0 $ 0 $ 0