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Intangible Assets (Tables) | 12 Months Ended
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Oct. 02, 2021
Goodwill and Intangible Assets Disclosure [Abstract] |
Schedule of Finite-Lived Intangible Assets | The gross carrying amounts and accumulated amortization of intangible assets are as follows at the dates indicated:
| October 2, 2021 |  | October 3, 2020
(in thousands) | Gross Carrying Amount |  | Accumulated Amortization |  | Total |  | Gross Carrying Amount |  | Accumulated Amortization |  | Total
Finite lived: Engineering designs | $ | 3,156 |  |  | $ | 2,876 |  |  | $ | 280 |  |  | $ | 3,156 |  |  | $ | 2,556 |  |  | $ | 600 |
Finite lived: Customer relationships | 37,425 |  |  | 28,078 |  |  | 9,347 |  |  | 37,425 |  |  | 26,209 |  |  | 11,216 |
Total amortized intangible assets | 40,581 |  |  | 30,954 |  |  | 9,627 |  |  | 40,581 |  |  | 28,765 |  |  | 11,816 |
Indefinite lived: Trade name | 39,816 |  |  | — |  |  | 39,816 |  |  | 39,816 |  |  | — |  |  | 39,816 |
Total intangible assets | $ | 80,397 |  |  | $ | 30,954 |  |  | $ | 49,443 |  |  | $ | 80,397 |  |  | $ | 28,765 |  |  | $ | 51,632 |
Schedule of Indefinite-Lived Intangible Assets | The gross carrying amounts and accumulated amortization of intangible assets are as follows at the dates indicated:
| October 2, 2021 |  | October 3, 2020
(in thousands) | Gross Carrying Amount |  | Accumulated Amortization |  | Total |  | Gross Carrying Amount |  | Accumulated Amortization |  | Total
Finite lived: Engineering designs | $ | 3,156 |  |  | $ | 2,876 |  |  | $ | 280 |  |  | $ | 3,156 |  |  | $ | 2,556 |  |  | $ | 600 |
Finite lived: Customer relationships | 37,425 |  |  | 28,078 |  |  | 9,347 |  |  | 37,425 |  |  | 26,209 |  |  | 11,216 |
Total amortized intangible assets | 40,581 |  |  | 30,954 |  |  | 9,627 |  |  | 40,581 |  |  | 28,765 |  |  | 11,816 |
Indefinite lived: Trade name | 39,816 |  |  | — |  |  | 39,816 |  |  | 39,816 |  |  | — |  |  | 39,816 |
Total intangible assets | $ | 80,397 |  |  | $ | 30,954 |  |  | $ | 49,443 |  |  | $ | 80,397 |  |  | $ | 28,765 |  |  | $ | 51,632 |
Schedule of Finite-Lived Intangible Assets, Future Amortization Expense | Amortization expense for finite lived intangible assets for the next five years is expected to be as follows:
(in thousands)
Fiscal Years Ending |  | Amortization Expense
2022 |  | $ | 2,010 |
2023 |  | 2,010 |
2024 |  | 1,869 |
2025 |  | 1,869 |
2026 |  | 1,869 |
Thereafter |  | — |
Total amortization expense |  | $ | 9,627 |

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