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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
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