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Intangible Assets | 9 Months Ended
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Sep. 30, 2024
Intangible Assets |
Intangible Assets | (5) Intangible Assets Intangible Assets Subject to Amortization, net ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ |  | September 30, 2024 |  | December 31, 2023 |
​ | ​ | Gross | ​ | ​ | ​ | Net | ​ | Gross | ​ | ​ | ​ | Net | ​
​ | ​ | carrying | ​ | Accumulated | ​ | carrying | ​ | carrying | ​ | Accumulated | ​ | carrying |
​ |  | amount |  | amortization |  | amount |  | amount |  | amortization |  | amount |
​ | ​ | amounts in millions |
Customer relationships | ​ | $ | 515 | ​ | (163) | ​ | 352 | ​ | 515 | ​ | (132) | ​ | 383 | ​
Other amortizable intangible assets | ​ |  | 162 | ​ | (91) | ​ | 71 | ​ | 156 | ​ | (78) | ​ | 78 | ​
Total | ​ | $ | 677 | ​ | (254) | ​ | 423 | ​ | 671 | ​ | (210) | ​ | 461 | ​
​ Amortization expense for intangible assets with finite useful lives was $15 million and $16 million for the three months ended September 30, 2024 and 2023, respectively, and $45 million and $48 million for the nine months ended September 30, 2024 and 2023, respectively. Amortization expense for amortizable intangible assets for each of the five succeeding fiscal years is estimated to be (amounts in millions): ​
​ | ​ | ​ | ​ | ​
Remainder of 2024 | ​ | $ | 15 | ​
2025 | ​ | $ | 55 | ​
2026 | ​ | $ | 52 | ​
2027 | ​ | $ | 50 | ​
2028 | ​ | $ | 48 | ​
​

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