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GOODWILL AND INTANGIBLE ASSETS, NET (Tables) | 3 Months Ended
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Mar. 31, 2021
GOODWILL AND INTANGIBLE ASSETS, NET |
Schedule of goodwill details by segment | The following table presents the details of goodwill by segment (in millions):
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | ​ | ​ | North American | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ |  | Options |  | Equities |  | Europe |  | Global FX |  | Total
Balance as of December 31, 2020 | ​ | $ | 305.8 | ​ | $ | 1,877.3 | ​ | $ | 444.8 | ​ | $ | 267.2 | ​ | $ | 2,895.1
Changes in foreign currency exchange rates | ​ |  | — | ​ |  | 0.4 | ​ |  | 2.5 | ​ |  | — | ​ |  | 2.9
Balance as of March 31, 2021 | ​ | $ | 305.8 | ​ | $ | 1,877.7 | ​ | $ | 447.3 | ​ | $ | 267.2 | ​ | $ | 2,898.0
Schedule of details of intangible assets | The following table presents the details of the intangible assets (in millions):
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | ​ | ​ | North American | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ |  | Options |  | Equities |  | Europe |  | Global FX |  | Total
Balance as of December 31, 2020 | ​ | $ | 173.4 | ​ | $ | 1,055.5 | ​ | $ | 386.8 | ​ | $ | 113.3 | ​ | $ | 1,729.0
Amortization | ​ |  | (3.8) | ​ |  | (17.1) | ​ |  | (6.2) | ​ | ​ | (5.8) | ​ |  | (32.9)
Changes in foreign currency exchange rates | ​ |  | — | ​ |  | 0.4 | ​ | ​ | 1.6 | ​ |  | — | ​ |  | 2.0
Balance as of March 31, 2021 | ​ | $ | 169.6 | ​ | $ | 1,038.8 | ​ | $ | 382.2 | ​ | $ | 107.5 | ​ | $ | 1,698.1
Schedule of categories of intangible assets | The following tables present the categories of intangible assets as of March 31, 2021 and December 31, 2020 (in millions):
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | March 31, 2021 | ​ | Weighted
​ | ​ | ​ | ​ | ​ | North | ​ | ​ | ​ | ​ | ​ | ​ | ​ | Average
​ | ​ | ​ | ​ | American | ​ | ​ | ​ | ​ | ​ | ​ | Amortization
​ |  | Options |  | Equities |  | Europe |  | Global FX |  | Period (in years)
Trading registrations and licenses | ​ | $ | 95.5 | ​ | $ | 592.2 | ​ | $ | 219.6 | ​ | $ | — | ​ | Indefinite
Customer relationships | ​ |  | 46.6 | ​ |  | 378.5 | ​ |  | 177.2 | ​ |  | 140.0 | ​ | 16
Market data customer relationships | ​ |  | 53.6 | ​ |  | 322.0 | ​ |  | 66.5 | ​ |  | 64.4 | ​ | 11
Technology | ​ |  | 28.1 | ​ |  | 41.1 | ​ |  | 28.7 | ​ |  | 22.5 | ​ | 5
Trademarks and tradenames | ​ |  | 12.9 | ​ |  | 7.8 | ​ |  | 2.6 | ​ |  | 1.2 | ​ | 9
Accumulated amortization | ​ |  | (67.1) | ​ |  | (302.8) | ​ |  | (112.4) | ​ |  | (120.6) | ​ | ​
​ | ​ | $ | 169.6 | ​ | $ | 1,038.8 | ​ | $ | 382.2 | ​ | $ | 107.5 | ​ | ​
​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | December 31, 2020 | ​ | Weighted
​ | ​ | ​ | ​ | ​ | North | ​ | ​ | ​ | ​ | ​ | ​ | ​ | Average
​ | ​ | ​ | ​ | American | ​ | ​ | ​ | ​ | ​ | ​ | Amortization
​ |  | Options |  | Equities |  | Europe |  | Global FX |  | Period (in years)
Trading registrations and licenses | ​ | $ | 95.5 | ​ | $ | 592.0 | ​ | $ | 219.3 | ​ | $ | — | ​ | Indefinite
Customer relationships | ​ |  | 46.6 | ​ |  | 378.3 | ​ |  | 175.7 | ​ |  | 140.0 | ​ | 16
Market data customer relationships | ​ |  | 53.6 | ​ |  | 322.0 | ​ |  | 65.9 | ​ |  | 64.4 | ​ | 11
Technology | ​ |  | 28.1 | ​ |  | 41.1 | ​ |  | 28.6 | ​ |  | 22.5 | ​ | 5
Trademarks and tradenames | ​ |  | 12.9 | ​ |  | 7.8 | ​ |  | 2.6 | ​ |  | 1.2 | ​ | 9
Accumulated amortization | ​ |  | (63.3) | ​ |  | (285.7) | ​ |  | (105.3) | ​ |  | (114.8) | ​ | ​
​ | ​ | $ | 173.4 | ​ | $ | 1,055.5 | ​ | $ | 386.8 | ​ | $ | 113.3 | ​ | ​

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