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Acquisitions (Details Textual) € in Millions, $ in Millions |  | 10 Months Ended | 12 Months Ended |
--- | --- | --- | --- | ---
Mar. 15, 2022 EUR (€) terminal merchant | Mar. 15, 2022 USD ($) terminal merchant | Dec. 31, 2022 USD ($) | Dec. 31, 2023 USD ($) | Dec. 31, 2022 USD ($) Item | Dec. 31, 2021 USD ($)
Business Acquisition [Line Items] |  |  |  |  |  |
Goodwill |  |  | $ 828.3 | $ 847.5 | $ 828.3 | $ 641.6
Series of Individually Immaterial Business Acquisitions [Member] |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |
Number of additional acquisition |  |  |  | 1 | 1 |
Piraeus Bank Merchant Acquiring [Member] |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |
Number of Point of Sale Terminals Acquisition | terminal | 205,000 | 205,000 |  |  |  |
Number of Merchants at Point of Sale Terminals Acquisition | merchant | 170,000 | 170,000 |  |  |  |
Business acquisition, purchase price | € 317.8 | $ 350.6 |  |  |  |
Payments to acquired entity in cash |  | 331.0 |  |  |  |
Payments to acquired entity in cash for surplus working capital |  | 4.4 |  |  | $ 4.4 |
Business Combination, Intangible assets acquired |  | 122.5 |  |  |  |
Goodwill |  | 212.7 |  |  |  |
Business Combination, Revenue of acquiree |  |  | $ 88.8 | $ 130.2 |  |
Piraeus Bank Merchant Acquiring [Member] | Customer Relationships [Member] |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |
Business Combination, Intangible assets acquired |  | $ 112.2 |  |  |  |
Amortization method | straight-line | straight-line |  |  |  |
Business Combination, Acquired Intangible asset, useful life | 15 years | 15 years |  |  |  |
Piraeus Bank Merchant Acquiring [Member] | Contract-Based Intangible Assets [Member] |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |
Business Combination, Intangible assets acquired |  | $ 10.3 |  |  |  |
Amortization method | straight-line | straight-line |  |  |  |
Business Combination, Acquired Intangible asset, useful life | 10 years | 10 years |  |  |  |
Piraeus Bank Merchant Acquiring [Member] | Earn Out Contingent [Member] |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |
Estimated contingent consideration |  | $ 15.2 |  |  |  |
Business Acquisition, Period of Earn Out Contingent | 10 years | 10 years |  |  |  |
Contractual maximum amount of consideration |  |  |  | no contractual maximum amount of consideration under this agreement. |  |

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