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Acquisitions and Dispositions - Acquired Entities (Details) - USD ($)
$ in Millions
12 Months Ended
Oct. 03, 2022
Jan. 31, 2022
Apr. 01, 2021
Dec. 31, 2023
Dec. 31, 2022
Sep. 30, 2022
Dec. 31, 2021
Dec. 31, 2020
Dec. 31, 2019
Mar. 31, 2021
Mar. 09, 2020
Jul. 18, 2017
Business Acquisition [Line Items]                        
G4S intercompany payments       $ (36.3) $ 139.2   $ 45.1          
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract]                        
Restricted cash       507.0 438.5              
Right-of-use assets, net       337.7 314.5              
Goodwill       1,473.8 1,450.9   1,411.7          
Contingent consideration payment       11.1 2.8   4.0          
Contingent consideration derecognition gain       (6.2) 0.0   0.0          
Transaction Costs       4.2 5.6   6.5          
NoteMachine                        
Business Acquisition [Line Items]                        
Acquisition date Oct. 03, 2022                      
Percentage of shares acquired 100.00%                      
Annual revenues           $ 150.0            
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract]                        
Purchase consideration - cash paid       179.4                
Contingent consideration $ 14.8                      
Fair value of purchase consideration 194.2                      
Cash 6.8                      
Restricted cash 12.1                      
Accounts receivables 27.3                      
Other current assets 14.5                      
Property and Equipment, net 38.2                      
Intangible assets 84.2                      
Goodwill 64.2                      
Other noncurrent assets 11.1                      
Current liabilities (37.0)                      
Noncurrent liabilities (27.2)                      
Fair value of net assets acquired 194.2                      
Contingent consideration payment       10.3                
NoteMachine | Post-Acquisition Collection of ATM Tax Rate Rebates                        
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract]                        
Contingent consideration 10.5                      
Contingent consideration payment       10.0                
NoteMachine | ATM Cash Withdrawal Interchange Fees                        
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract]                        
Contingent consideration 4.3                      
Contingent consideration derecognition gain       4.8                
NoteMachine | Europe                        
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract]                        
Goodwill       63.0                
NoteMachine | North America                        
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract]                        
Goodwill       1.0                
Touchpoint 21 LLC                        
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract]                        
Fair value of purchase consideration   $ 15.0                    
Contingent consideration payment       0.8                
PAI                        
Business Acquisition [Line Items]                        
Percentage of shares acquired     100.00%                  
Annual revenues               $ 94.0        
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract]                        
Purchase consideration - cash paid     $ 215.5                  
Fair value of purchase consideration     215.5                  
Cash     12.3                  
Accounts receivables     7.3                  
Other current assets     5.5                  
Property and Equipment, net     14.6                  
Intangible assets     95.0                  
Goodwill     126.1                  
Other noncurrent assets     4.5                  
Current liabilities     (41.2)                  
Noncurrent liabilities     (8.6)                  
Fair value of net assets acquired     215.5                  
Contingent consideration payment         2.8   1.1          
PAI | North America                        
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract]                        
Goodwill     2.0                  
G4Si                        
Business Acquisition [Line Items]                        
Percentage of shares acquired                     100.00%  
G4S                        
Business Acquisition [Line Items]                        
Percentage of shares acquired                   100.00%    
Annual revenues                 $ 800.0      
G4S intercompany payments       114.0                
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract]                        
Purchase consideration - cash paid       816.9                
Contingent consideration       22.0                
Liabilities assumed from seller       2.9                
Indemnification assets       (15.9)                
Fair value of purchase consideration       825.9                
Cash       244.4                
Restricted cash       30.1                
Accounts receivables       145.8                
Other current assets       30.8                
Property and Equipment, net       123.8                
Right-of-use assets, net       77.5                
Intangible assets       207.0                
Goodwill       534.1                
Other noncurrent assets       16.2                
Current liabilities       (296.3)                
Lease liability       (68.1)                
Noncurrent liabilities       (103.9)                
Fair value of net assets acquired       941.4                
Fair value of noncontrolling interest       (115.5)                
Contingent consideration payment             $ 3.2          
G4S | Europe                        
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract]                        
Goodwill       191.0                
G4S | Rest of World                        
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract]                        
Goodwill       340.0                
G4S | Latin America                        
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract]                        
Goodwill       3.0                
G4S Tranche III                        
Business Acquisition [Line Items]                        
Percentage of shares acquired                   100.00%    
Maco                        
Business Acquisition [Line Items]                        
Percentage of shares acquired                       100.00%
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract]                        
Severance Costs       $ 4.9 $ 12.5              
Customer relationships | NoteMachine                        
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract]                        
Intangible assets 47.0                      
Remaining Amortization Period       13 years                
Customer relationships | PAI                        
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract]                        
Intangible assets     $ 60.0                  
Remaining Amortization Period     10 years                  
Customer relationships | G4S                        
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract]                        
Intangible assets       $ 207.0                
Remaining Amortization Period       15 years                
Developed technology | NoteMachine                        
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract]                        
Intangible assets 27.0                      
Remaining Amortization Period       12 years                
Developed technology | PAI                        
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract]                        
Intangible assets     $ 26.0                  
Remaining Amortization Period     12 years                  
Finite-lived trade names | NoteMachine                        
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract]                        
Intangible assets $ 10.0                      
Remaining Amortization Period       5 years                
Finite-lived trade names | PAI                        
Business Combination, Recognized Identifiable Assets Acquired, Goodwill, and Liabilities Assumed, Net [Abstract]                        
Intangible assets     $ 9.0                  
Remaining Amortization Period     5 years