| Schedule of amortization for definite-lived intangible assets |
Amortization for definite-lived intangible assets is as follows (in thousands, except useful life): | | | | | | | | | | | | | | | | | | | | | | | Weighted- | | | | | | | | | Net | | Average | | | Gross Carrying | | Accumulated | | Carrying | | Remaining | | | Amount | | Amortization | | Value | | Useful Life | As of September 30, 2024 | | | | | | | | | | | | Customer relationships | | $ | 1,429,400 | | $ | (417,009) | | $ | 1,012,391 | | 11.3 | Purchased developed technology | | | 301,100 | | | (264,346) | | | 36,754 | | 4.0 | Tradenames and trademarks | | | 40,700 | | | (20,149) | | | 20,551 | | 5.0 | Total | | $ | 1,771,200 | | $ | (701,504) | | $ | 1,069,696 | | | As of December 31, 2023 | | | | | | | | | | | | Customer relationships | | $ | 1,429,400 | | $ | (345,848) | | $ | 1,083,552 | | 12.3 | Purchased developed technology | | | 301,100 | | | (221,558) | | | 79,542 | | 3.0 | Tradenames and trademarks | | | 40,700 | | | (16,857) | | | 23,842 | | 6.0 | Total | | $ | 1,771,200 | | $ | (584,263) | | $ | 1,186,936 | | |
|