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Goodwill and Other Intangible Assets (Tables) | 6 Months Ended
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Mar. 29, 2024
Goodwill and Intangible Assets Disclosure [Abstract] |
Schedule of Goodwill Assets by Segment | Changes in total goodwill during the six months ended March 29, 2024 are as follows (in thousands):
Segment | September 29, 2023 |  | Acquisitions |  |  |  | Translation |  | March 29, 2024
FSS United States | $ | 4,164,392 |  |  | $ | 12,159 |  |  |  |  | $ | 4 |  |  | $ | 4,176,555 |
FSS International | 451,594 |  |  | 1,444 |  |  |  |  | 5,857 |  |  | 458,895 |
| $ | 4,615,986 |  |  | $ | 13,603 |  |  |  |  | $ | 5,861 |  |  | $ | 4,635,450 |
Schedule of Other Intangible Assets | Other intangible assets consist of the following (in thousands):
| March 29, 2024 |  | September 29, 2023
| Gross Amount |  | Accumulated Amortization |  | Net Amount |  | Gross Amount |  | Accumulated Amortization |  | Net Amount
Customer relationship assets | $ | 1,146,519 |  |  | $ | (476,235) |  |  | $ | 670,284 |  |  | $ | 1,116,771 |  |  | $ | (433,741) |  |  | $ | 683,030 |
Trade names | 1,176,539 |  |  | (26,179) |  |  | 1,150,360 |  |  | 1,137,535 |  |  | (16,092) |  |  | 1,121,443 |
| $ | 2,323,058 |  |  | $ | (502,414) |  |  | $ | 1,820,644 |  |  | $ | 2,254,306 |  |  | $ | (449,833) |  |  | $ | 1,804,473 |

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