| Carrying amount of goodwill |
The changes in the carrying amount of goodwill for the three months ended April 30, 2019 were as follows (in thousands): | | | | | Balance at January 31, 2019 | $ | 195,225 |
| Cumulative translation adjustment | (450 | ) | Balance at April 30, 2019 | $ | 194,775 |
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| Intangible assets |
Intangible assets consisted of the following: | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | As of April 30, 2019 | | As of January 31, 2019 | (in thousands) | Weighted-average Remaining Useful Life (Years) | | Estimated Fair Value | | Accumulated Amortization | | Acquisition-related Intangibles, Net | | Estimated Fair Value | | Accumulated Amortization | | Acquisition-related Intangibles, Net | Existing technology | 2.4 | | $ | 31,594 |
| | $ | (22,053 | ) | | $ | 9,541 |
| | $ | 31,594 |
| | $ | (20,747 | ) | | $ | 10,847 |
| Tradenames / trademarks | 0.7 | | 2,419 |
| | (2,048 | ) | | 371 |
| | 2,419 |
| | (1,858 | ) | | 561 |
| Customer contracts & related relationships | 8.1 | | 65,782 |
| | (13,185 | ) | | 52,597 |
| | 65,782 |
| | (11,168 | ) | | 54,614 |
| Certifications | 1.3 | | 6,917 |
| | (5,191 | ) | | 1,726 |
| | 6,917 |
| | (4,846 | ) | | 2,071 |
| Maintenance contracts & related relationships | 1.1 | | 1,498 |
| | (1,179 | ) | | 319 |
| | 1,498 |
| | (1,104 | ) | | 394 |
| Backlog—Subscription | 1.4 | | 6,400 |
| | (2,104 | ) | | 4,296 |
| | 6,400 |
| | (1,304 | ) | | 5,096 |
| | 6.6 | | $ | 114,610 |
| | $ | (45,760 | ) | | 68,850 |
| | $ | 114,610 |
| | $ | (41,027 | ) | | 73,583 |
| Cumulative translation adjustment | | | | | | | 640 |
| | | | | | 620 |
| Total | | | | | | | $ | 69,490 |
| | | | | | $ | 74,203 |
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| Amortization of finite-lived intangible assets |
Amortization of finite-lived intangible assets for the three months ended April 30, 2019 and 2018 was as follows: | | | | | | | | | | Three Months Ended April 30, | (in thousands) | 2019 | | 2018 | Cost of subscription revenue | $ | 1,627 |
| | $ | 1,668 |
| Sales and marketing | 3,106 |
| | 765 |
| Total | $ | 4,733 |
| | $ | 2,433 |
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| Future amortization of finite-lived intangibles |
As of April 30, 2019, future amortization of finite-lived intangibles that will be recorded in cost of revenue and operating expenses is estimated as follows, excluding cumulative translation adjustment (in thousands): | | | | | Fiscal 2020, remainder | $ | 12,984 |
| Fiscal 2021 | 13,818 |
| Fiscal 2022 | 8,370 |
| Fiscal 2023 | 6,023 |
| Fiscal 2024 | 6,023 |
| Thereafter | 21,632 |
| Total | $ | 68,850 |
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