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Goodwill and Intangible Assets, Net | 12 Months Ended
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Sep. 30, 2020
Goodwill and Intangible Assets Disclosure [Abstract] |
Goodwill and Intangible Assets, Net | Note 9 — Goodwill and Intangible Assets, Net The following table presents details of the Company’s total goodwill:
As of September 30, 2018 |  | $ | 2,444,895 |
Goodwill resulting from acquisitions(1) |  |  | 17,484 |
Other |  |  | 456 |
As of September 30, 2019 |  | $ | 2,462,835 |
Goodwill resulting from acquisitions(2) |  |  | 118,628 |
Other |  |  | (2,818 | )
As of September 30, 2020 |  | $ | 2,578,645 |
(1) | Mainly relates to the acquisition of TTS. In allocating the total purchase price for T TS , based on estimated fair values, the Company recorded $8,218 of goodwill, $29,500 of customer relationships to be amortized over approximately six years, $2,100 of core technology to be amortized over approximately six years and $1,300 of trade mark to be amortized over four years.
(2) | Mainly relates to the acquisition of Openet. In allocating the total preliminary purchase price for Openet, based on estimated fair values, the Company recorded $102,898 of goodwill, $40,409 of customer relationships to be amortized over approximately eight years, $53,614 of core technology to be amortized over approximately five years and $2,594 of trade mark to be amortized over two years.
The Company performs an annual goodwill impairment test during the fourth quarter of each fiscal year, or more frequently if impairment indicators are present. The Company operates in one operating segment, and this segment comprises its only reporting unit. In calculating the fair value of the reporting unit, the Company uses its market capitalization and a discounted cash flow methodology. There was no impairment of goodwill in fiscal years 2020, 2019 or 2018 . The following table presents details regarding the Company’s total definite-lived purchased intangible assets:
|  | Gross |  |  | Accumulated Amortization |  |  | Net |
September 30, 2020 |  |  |  |  |  |  |  |  |  |  |  |
Core technology |  | $ | 896,814 |  |  | $ | (735,534 | ) |  | $ | 161,280 |
Customer relationships |  |  | 642,575 |  |  |  | (517,670 | ) |  |  | 124,905 |
Other |  |  | 47,540 |  |  |  | (37,391 | ) |  |  | 10,149 |
Total |  | $ | 1,586,929 |  |  | $ | (1,290,595 | ) |  | $ | 296,334 |
September 30, 2019 |  |  |  |  |  |  |  |  |  |  |  |
Core technology |  | $ | 775,479 |  |  | $ | (690,961 | ) |  | $ | 84,518 |
Customer relationships |  |  | 594,555 |  |  |  | (483,313 | ) |  |  | 111,242 |
Other |  |  | 44,946 |  |  |  | (35,544 | ) |  |  | 9,402 |
Total |  | $ | 1,414,980 |  |  | $ | (1,209,818 | ) |  | $ | 205,162 |
The amortization expenses related to the Company’s definite-lived purchased intangible assets were $80,777, $94,385 and $105,785 for the years ended 2020, 2019 and 2018 , respectively. The estimated future amortization expense of def i nite-lived purchased intangible assets as of September 30, 2020 is as follows:
|  | Amount |
Fiscal year: |  |  |  |
2021 |  | $ | 78,345 |
2022 |  |  | 63,819 |
2023 |  |  | 46,672 |
2024 |  |  | 38,954 |
2025 |  |  | 34,534 |
Thereafter |  |  | 34,010 |
Total |  | $ | 296,334 |

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- Definition The entire disclosure for goodwill and intangible assets. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 350 -URI http://asc.fasb.org/topic&trid=2144416 + Details
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