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Acquisitions - Narrative (Details) - USD ($)
$ in Thousands
1 Months Ended 9 Months Ended 12 Months Ended
Jul. 31, 2024
Jun. 30, 2024
Mar. 31, 2024
Sep. 30, 2023
Jan. 31, 2023
Sep. 30, 2024
Sep. 30, 2023
Dec. 31, 2023
Feb. 28, 2023
Business Acquisition [Line Items]                  
Acquisitions, net of cash acquired           $ 245,719 $ 429,914    
2024 Asset Acquisitions                  
Business Acquisition [Line Items]                  
Asset acquisition, consideration transferred           $ 6,700      
Zapay                  
Business Acquisition [Line Items]                  
Business acquisition, interest acquired     70.00%            
Acquisitions, net of cash acquired     $ 59,500            
Period to acquire remaining percentage     4 years            
Paymerang                  
Business Acquisition [Line Items]                  
Business acquisition, interest acquired 100.00%                
Acquisitions, net of cash acquired $ 179,200                
Cash acquired from acquisition $ 309,000                
GPS Capital Markets, LLC                  
Business Acquisition [Line Items]                  
Business acquisition, interest acquired   100.00%              
Aggregate purchase price   $ 725,000              
Global Reach                  
Business Acquisition [Line Items]                  
Business acquisition, interest acquired         100.00%        
Aggregate purchase price         $ 102,900        
Business Gateway AG                  
Business Acquisition [Line Items]                  
Business acquisition, interest acquired                 100.00%
PayByPhone                  
Business Acquisition [Line Items]                  
Business acquisition, interest acquired       100.00%     100.00%    
Aggregate purchase price       $ 301,900          
Global Reach, Mina Digital, and Business Gateway AG                  
Business Acquisition [Line Items]                  
Cash acquired from acquisition               $ 117,000  
Aggregate purchase price               437,000  
Mina Digital Limited                  
Business Acquisition [Line Items]                  
Acquisitions, previously held equity-method investment               $ 8,500