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Pension and Other Postretirement Benefit Plans - Schedule of Amount Recognized in Accompanying Balance Sheets (Details) - USD ($) $ in Thousands | Sep. 30, 2022 | Oct. 01, 2021
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Defined Benefit Plan Disclosure [Line Items] |  |
Liabilities relating to defined benefit pension and retirement plans | $ 271,332 | $ 418,080
Pension Plan | U.S. Plans |  |
Defined Benefit Plan Disclosure [Line Items] |  |
Prepaid benefit cost included in noncurrent assets | 0 | 0
Accrued benefit cost included in current liabilities | 83 | 84
Liabilities relating to defined benefit pension and retirement plans | 13,227 | 19,215
Net amount recognized at the end of the year | 13,310 | 19,299
Pension Plan | Non-U.S. Plans |  |
Defined Benefit Plan Disclosure [Line Items] |  |
Prepaid benefit cost included in noncurrent assets | 54,897 | 48,340
Accrued benefit cost included in current liabilities | 4,359 | 3,873
Liabilities relating to defined benefit pension and retirement plans | 118,379 | 216,612
Net amount recognized at the end of the year | $ 67,841 | $ 172,145

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