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Business Combinations - Summary of Preliminary and Final Purchase Allocation (Details) - USD ($)
Dec. 31, 2021
Dec. 29, 2021
Jun. 22, 2021
Jun. 15, 2021
Dec. 31, 2020
Nov. 02, 2020
Jul. 23, 2020
Feb. 10, 2020
Dec. 31, 2019
Oct. 14, 2019
Aug. 13, 2019
Jul. 11, 2019
Jul. 10, 2019
Dec. 31, 2018
Business Acquisition [Line Items]                            
Goodwill $ 824,081,632       $ 458,970,255       $ 389,660,519     $ 339,911,400 $ 119,529,202 $ 119,529,202
Hawk Parent Holdings LLC                            
Business Acquisition [Line Items]                            
Cash and cash equivalents                       11,281,078    
Accounts receivable                       10,593,867    
Prepaid expenses and other current assets                       890,745    
Total current assets                       22,765,690    
Property, plant and equipment, net                       1,167,872    
Restricted cash                       6,930,434    
Identifiable intangible assets                       301,000,000    
Total identifiable assets acquired                       331,863,996    
Accounts payable                       (4,206,413)    
Accrued expenses                       (8,831,363)    
Accrued employee payments                       (6,501,123)    
Other liabilities                       (16,864)    
Repay debt assumed                       (93,514,583)    
Net identifiable assets acquired                       218,793,650    
Goodwill                       339,911,400    
Total purchase price                       $ 558,705,050    
TriSource                            
Business Acquisition [Line Items]                            
Cash and cash equivalents                     $ 383,236      
Accounts receivable                     2,290,441      
Prepaid expenses and other current assets                     95,763      
Total current assets                     2,769,440      
Property, plant and equipment, net                     215,739      
Restricted cash                     509,019      
Identifiable intangible assets                     30,500,000      
Total identifiable assets acquired                     33,994,198      
Accounts payable                     (1,621,252)      
Accrued expenses                     (756,117)      
Net identifiable assets acquired                     31,616,829      
Goodwill                     30,868,261      
Total purchase price                     $ 62,485,090      
APS                            
Business Acquisition [Line Items]                            
Accounts receivable                   $ 1,963,177        
Prepaid expenses and other current assets                   67,158        
Total current assets                   2,030,335        
Property, plant and equipment, net                   159,553        
Restricted cash                   549,978        
Identifiable intangible assets                   21,500,000        
Total identifiable assets acquired                   24,239,866        
Accounts payable                   (1,101,706)        
Accrued expenses                   (19,018)        
Net identifiable assets acquired                   23,119,142        
Goodwill                   25,926,861        
Total purchase price                   $ 49,046,003        
Ventanex                            
Business Acquisition [Line Items]                            
Cash and cash equivalents               $ 50,663            
Accounts receivable               1,376,539            
Prepaid expenses and other current assets               180,514            
Total current assets               1,607,716            
Property, plant and equipment, net               137,833            
Restricted cash               428,313            
Identifiable intangible assets               26,890,000            
Total identifiable assets acquired               29,063,862            
Accounts payable               (152,035)            
Accrued expenses               (373,159)            
Net identifiable assets acquired               28,538,668            
Goodwill               12,200,461            
Total purchase price               $ 40,739,129            
cPayPlus                            
Business Acquisition [Line Items]                            
Cash and cash equivalents             $ 262,331              
Accounts receivable             164,789              
Prepaid expenses and other current assets             37,660              
Total current assets             464,780              
Property, plant and equipment, net             20,976              
Identifiable intangible assets             7,720,000              
Total identifiable assets acquired             8,205,756              
Accounts payable             (99,046)              
Accrued expenses             (363,393)              
Net identifiable assets acquired             7,743,317              
Goodwill             6,713,646              
Total purchase price             $ 14,456,963              
CPS                            
Business Acquisition [Line Items]                            
Cash and cash equivalents           $ 1,667,066                
Accounts receivable           2,810,158                
Prepaid expenses and other current assets           2,615,615                
Total current assets           7,092,839                
Property, plant and equipment, net           19,391                
Restricted cash           407                
Identifiable intangible assets           30,830,000                
Total identifiable assets acquired           37,942,637                
Accounts payable           (2,004,371)                
Accrued expenses           (2,143,680)                
Net identifiable assets acquired           33,794,586                
Goodwill           40,747,939                
Total purchase price           74,542,525                
MPI                            
Business Acquisition [Line Items]                            
Cash and cash equivalents           2,097,921                
Accounts receivable           5,556,958                
Prepaid expenses and other current assets           934,751                
Total current assets           8,589,630                
Property, plant and equipment, net           2,995                
Restricted cash           35,318                
Identifiable intangible assets           7,110,000                
Total identifiable assets acquired           15,737,943                
Accounts payable           (4,495,599)                
Net identifiable assets acquired           11,242,344                
Goodwill           2,601,687                
Total purchase price           $ 13,844,031                
Billing Tree                            
Business Acquisition [Line Items]                            
Cash and cash equivalents       $ 8,243,570                    
Accounts receivable       3,623,894                    
Prepaid expenses and other current assets       1,601,854                    
Total current assets       13,469,318                    
Property, plant and equipment, net       541,244                    
Restricted cash       274,954                    
Other assets       1,782,489                    
Identifiable intangible assets       236,810,000                    
Total identifiable assets acquired       252,878,005                    
Accounts payable       (2,552,251)                    
Accrued expenses and other liabilities       (6,982,919)                    
Deferred tax liability       (31,371,590)                    
Net identifiable assets acquired       211,971,245                    
Goodwill       293,799,895                    
Total purchase price       $ 505,771,140                    
Kontrol                            
Business Acquisition [Line Items]                            
Accounts receivable     $ 67,510                      
Prepaid expenses and other current assets     5,572                      
Total current assets     73,082                      
Identifiable intangible assets     6,940,000                      
Total identifiable assets acquired     7,013,082                      
Accounts payable     (664,932)                      
Net identifiable assets acquired     6,348,150                      
Goodwill     1,591,223                      
Total purchase price     $ 7,939,373                      
Payix                            
Business Acquisition [Line Items]                            
Cash and cash equivalents   $ 702,575                        
Accounts receivable   1,715,292                        
Prepaid expenses and other current assets   93,891                        
Total current assets   2,511,758                        
Property, plant and equipment, net   83,449                        
Restricted cash   27,177                        
Other assets   655,588                        
Identifiable intangible assets   33,150,000                        
Total identifiable assets acquired   36,427,972                        
Accounts payable   (214,195)                        
Accrued expenses and other liabilities   (2,022,846)                        
Deferred tax liability   (6,943,998)                        
Net identifiable assets acquired   27,246,933                        
Goodwill   71,231,039                        
Total purchase price   $ 98,477,972