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Goodwill and Intangible Assets, Net (Tables) | 12 Months Ended
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Sep. 30, 2021
Goodwill and Intangible Assets Disclosure [Abstract] |
Details of Total Goodwill | The following table presents details of the Company’s total goodwill:
As of September 30, 2019 |  | $ | 2,462,835 |
Goodwill resulting from acquisitions (1) |  |  | 118,628 |
Other |  |  | (2,818 | )
As of September 30, 2020 |  | $ | 2,578,645 |
Goodwill resulting from acquisitions (2) |  |  | 104,151 |
Decrease in goodwill as a result of divestiture (3) |  |  | (61,396 | )
Other |  |  | 1,244 |
As of September 30, 2021 |  | $ | 2,622,644 |
(1) | Mainly relates to the acquisition of Openet. In allocating the total purchase price for Openet, based on estimated fair values, the Company recorded $110,347 of goodwill, $40,409 of customer relationships to be amortized over approximately eight years, $53,614 of core technology to be amortized over five years and $2,594 of trademark to be amortized over two years.
(2) | Mainly relates to the acquisition of Sourced. In allocating the total preliminary purchase price for Sourced, based on estimated fair values, the Company recorded $80,055 of goodwill, $18,211 of customer relationships to be amortized over approximately seven years and $3,056 of core technology to be amortized over three years.
(3) | Relates to the divestiture of OpenMarket completed on December 31, 2020, please see also Note 3.
Details Regarding Total Definite-Lived Purchased Intangible Assets | The following table p r esents details regarding the Company’s total definite-lived purchased intangible assets:
|  | Gross |  |  | Accumulated Amortization |  |  | Net |
September 30, 2021 |  |  |  |  |  |  |  |  |  |  |  |
Core technology |  | $ | 896,149 |  |  | $ | (777,419 | ) |  | $ | 118,730 |
Customer relationships |  |  | 689,754 |  |  |  | (556,716 | ) |  |  | 133,038 |
Other |  |  | 47,540 |  |  |  | (40,276 | ) |  |  | 7,264 |
Total |  | $ | 1,633,443 |  |  | $ | (1,374,411 | ) |  | $ | 259,032 |
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 |
Estimated Future Amortization Expense | The estimated future amortization expense of definite-lived purchased intangible assets as of September 30, 2021 is as follows:
|  | Amount |
Fiscal year: |  |  |  |
2022 |  | $ | 72,119 |
2023 |  |  | 54,156 |
2024 |  |  | 45,882 |
2025 |  |  | 41,930 |
2026 |  |  | 25,505 |
Thereafter |  |  | 19,440 |
Total |  | $ | 259,032 |

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