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Goodwill and Other Intangible Assets - Schedule of Other Intangible Assets (Details) - USD ($) $ in Thousands | Mar. 27, 2020 | Sep. 27, 2019
--- | --- | ---
Other Intangible Assets |  |
Gross Amount | $ 3,238,541 | $ 3,231,451
Accumulated Amortization | (1,252,462) | (1,197,885)
Net Amount | 1,986,079 | 2,033,566
Customer relationship assets |  |
Other Intangible Assets |  |
Gross Amount | 2,190,980 | 2,183,492
Accumulated Amortization | (1,246,389) | (1,193,525)
Net Amount | 944,591 | 989,967
Trade name |  |
Other Intangible Assets |  |
Gross Amount | 1,047,561 | 1,047,959
Accumulated Amortization | (6,073) | (4,360)
Net Amount | $ 1,041,488 | $ 1,043,599

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