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Income Taxes - Effective Income Tax Rate Reconciliation (Details) | 12 Months Ended
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Oct. 02, 2020 | Sep. 27, 2019 | Sep. 28, 2018
Income Tax Disclosure [Abstract] |  |  |
United States statutory income tax rate | 21.00% | 21.00% | 24.50%
Increase (decrease) in taxes, resulting from: |  |  |
State income taxes, net of Federal tax benefit | 3.00% | 4.20% | 3.20%
Foreign taxes | (3.90%) | 2.20% | 3.30%
Foreign goodwill impairment | (5.00%) | 0.00% | 0.00%
Permanent book/tax differences | (0.70%) | 0.60% | (1.20%)
Uncertain tax positions | 0.10% | 0.00% | (0.30%)
U.S. Tax Reform - Remeasurement of deferred taxes | 0.00% | 0.00% | (49.30%)
U.S. Tax Reform - Foreign tax credit valuation allowance | 0.00% | (2.30%) | 2.80%
Stock compensation | 3.60% | (0.20%) | 0.00%
CARES Act - Carryback rate differential | 9.80% | 0.00% | 0.00%
Sale of HCT | 0.00% | (4.40%) | 0.00%
Tax credits & other | 0.90% | (1.70%) | (3.50%)
Effective income tax rate | 28.80% | 19.40% | (20.50%)
Foreign valuation allowance, percent | (3.40%) |  |

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