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Benefit Plans - Narrative (Details) - USD ($) | 12 Months Ended
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Oct. 02, 2021 | Oct. 03, 2020 | Sep. 28, 2019
Defined Benefit Plan Disclosure [Line Items] |  |  |
Employer matching contribution, percent of employees' contribution | 50.00% |  |
Employer matching contribution, percent of employees' gross pay | 6.00% |  |
Employer discretionary contribution amount | $ 500,000 | $ 2,200,000 | $ 2,200,000
Medical, dental and accident and sickness benefit expense | 13,800,000 | 14,900,000 | 12,100,000
Bonus liabilities | 0 |  |
Pension Plan |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |
Employer contribution | 4,920,000 | 500,000 |
Benefits paid | 7,253,000 | 8,213,000 |
Benefit obligation | 160,088,000 | $ 169,741,000 | $ 163,572,000
Estimated net loss to be amortized from accumulated other comprehensive loss over next fiscal year | 1,200,000 |  |
Estimated future employer contributions in next fiscal year | $ 0 |  |

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- Definition Amount of payment to participant of defined benefit plan which decreases benefit obligation. For pension plan, payment includes, but is not limited to, pension benefits and death benefits. For other postretirement plan, payment includes, but is not limited to, prescription drug benefits, health care benefits, life insurance benefits, and legal, educational and advisory services. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 715 -SubTopic 20 -Section 50 -Paragraph 1 -Subparagraph (a)(6) -URI http://asc.fasb.org/extlink&oid=118255775&loc=d3e1928-114920 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 715 -SubTopic 60 -Section 50 -Paragraph 4 -URI http://asc.fasb.org/extlink&oid=6414203&loc=d3e39716-114964 + Details
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