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Pension and Other Post Retirement Benefit Plans - Schedule of Amount Recognized in Accompanying Balance Sheets (Details) - USD ($)
$ in Thousands
Sep. 27, 2024
Sep. 29, 2023
Defined Benefit Plan Disclosure [Line Items]    
Liabilities relating to defined benefit pension and retirement plans $ 298,221 $ 247,277
Pension Plan | U.S. Plans    
Defined Benefit Plan Disclosure [Line Items]    
Prepaid benefit cost included in noncurrent assets 0 758
Accrued benefit cost included in current liabilities 90 80
Liabilities relating to defined benefit pension and retirement plans 2,828 4,947
Net amount recognized at the end of the year 2,918 4,269
Pension Plan | Non-U.S. Plans    
Defined Benefit Plan Disclosure [Line Items]    
Prepaid benefit cost included in noncurrent assets 62,056 57,678
Accrued benefit cost included in current liabilities 6,833 5,182
Liabilities relating to defined benefit pension and retirement plans 134,501 109,732
Net amount recognized at the end of the year $ 79,278 $ 57,236