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GOODWILL AND INTANGIBLE ASSETS, NET (Tables) | 6 Months Ended
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Jun. 30, 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
Adjustment | ​ |  | — | ​ | ​ | (0.5) | ​ | ​ | — | ​ | ​ | — | ​ |  | (0.5)
Changes in foreign currency exchange rates | ​ |  | — | ​ |  | 1.0 | ​ |  | 3.9 | ​ |  | — | ​ |  | 4.9
Balance as of June 30, 2021 | ​ | $ | 305.8 | ​ | $ | 1,877.8 | ​ | $ | 448.7 | ​ | $ | 267.2 | ​ | $ | 2,899.5
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 | ​ |  | (7.3) | ​ |  | (33.0) | ​ |  | (12.1) | ​ | ​ | (11.1) | ​ |  | (63.5)
Changes in foreign currency exchange rates | ​ |  | — | ​ |  | 1.2 | ​ | ​ | 3.7 | ​ |  | — | ​ |  | 4.9
Balance as of June 30, 2021 | ​ | $ | 166.1 | ​ | $ | 1,023.7 | ​ | $ | 378.4 | ​ | $ | 102.2 | ​ | $ | 1,670.4
Schedule of categories of intangible assets | The following tables present the categories of intangible assets as of June 30, 2021 and December 31, 2020 (in millions, except as stated):
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | June 30, 2021 | ​ | Weighted
​ | ​ | ​ | ​ | ​ | North | ​ | ​ | ​ | ​ | ​ | ​ | ​ | Average
​ | ​ | ​ | ​ | American | ​ | ​ | ​ | ​ | ​ | ​ | Amortization
​ |  | Options |  | Equities |  | Europe |  | Global FX |  | Period (in years)
Trading registrations and licenses | ​ | $ | 95.5 | ​ | $ | 592.5 | ​ | $ | 220.9 | ​ | $ | — | ​ | Indefinite
Customer relationships | ​ |  | 46.6 | ​ |  | 378.8 | ​ |  | 178.1 | ​ |  | 140.0 | ​ | 16
Market data customer relationships | ​ |  | 53.6 | ​ |  | 322.0 | ​ |  | 66.8 | ​ |  | 64.4 | ​ | 11
Technology | ​ |  | 28.1 | ​ |  | 41.1 | ​ |  | 28.8 | ​ |  | 22.5 | ​ | 5
Trademarks and tradenames | ​ |  | 12.9 | ​ |  | 7.8 | ​ |  | 2.6 | ​ |  | 1.2 | ​ | 9
Accumulated amortization | ​ |  | (70.6) | ​ |  | (318.5) | ​ |  | (118.8) | ​ |  | (125.9) | ​ | ​
​ | ​ | $ | 166.1 | ​ | $ | 1,023.7 | ​ | $ | 378.4 | ​ | $ | 102.2 | ​ | ​
​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | ​ | 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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