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Pension and Other Postretirement Benefit Plans - Schedule of Fair Value of Pension Plan Assets (Details) - Pension Plan - USD ($)
$ in Thousands
Sep. 30, 2022
Oct. 01, 2021
Oct. 02, 2020
U.S. Plans      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year $ 286,193 $ 385,521 $ 382,250
U.S. Plans | Level 1      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 164,032 237,653  
U.S. Plans | Level 2      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 122,161 147,868  
U.S. Plans | Level 3      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 0 0  
U.S. Plans | Investments measured at Net Asset Value      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 0 0  
U.S. Plans | Equities      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 6,708 12,331  
U.S. Plans | Equities | Level 1      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 6,708 12,331  
U.S. Plans | Equities | Level 2      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 0 0  
U.S. Plans | Equities | Level 3      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 0 0  
U.S. Plans | Equities | Investments measured at Net Asset Value      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 0 0  
U.S. Plans | Domestic bonds      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 171,357 206,594  
U.S. Plans | Domestic bonds | Level 1      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 64,396 74,456  
U.S. Plans | Domestic bonds | Level 2      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 106,961 132,138  
U.S. Plans | Domestic bonds | Level 3      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 0 0  
U.S. Plans | Domestic bonds | Investments measured at Net Asset Value      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 0 0  
U.S. Plans | Overseas bonds      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 15,200 15,730  
U.S. Plans | Overseas bonds | Level 1      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 0 0  
U.S. Plans | Overseas bonds | Level 2      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 15,200 15,730  
U.S. Plans | Overseas bonds | Level 3      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 0 0  
U.S. Plans | Overseas bonds | Investments measured at Net Asset Value      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 0 0  
U.S. Plans | Cash and equivalents      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 19,025 22,634  
U.S. Plans | Cash and equivalents | Level 1      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 19,025 22,634  
U.S. Plans | Cash and equivalents | Level 2      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 0 0  
U.S. Plans | Cash and equivalents | Level 3      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 0 0  
U.S. Plans | Cash and equivalents | Investments measured at Net Asset Value      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 0 0  
U.S. Plans | Mutual funds      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 73,903 128,232  
U.S. Plans | Mutual funds | Level 1      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 73,903 128,232  
U.S. Plans | Mutual funds | Level 2      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 0 0  
U.S. Plans | Mutual funds | Level 3      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 0 0  
U.S. Plans | Mutual funds | Investments measured at Net Asset Value      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 0 0  
Non-U.S. Plans      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 1,297,625 2,203,495 2,043,356
Non-U.S. Plans | Level 1      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 9,667 27,579  
Non-U.S. Plans | Level 2      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 774,480 1,464,056  
Non-U.S. Plans | Level 3      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 321,702 482,057  
Non-U.S. Plans | Investments measured at Net Asset Value      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 191,776 229,803  
Non-U.S. Plans | Equities      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 44,194 88,779  
Non-U.S. Plans | Equities | Level 1      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 0 0  
Non-U.S. Plans | Equities | Level 2      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 42,655 86,117  
Non-U.S. Plans | Equities | Level 3      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 0 0  
Non-U.S. Plans | Equities | Investments measured at Net Asset Value      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 1,539 2,662  
Non-U.S. Plans | Overseas equities      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 150,869 243,314  
Non-U.S. Plans | Overseas equities | Level 1      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 0 0  
Non-U.S. Plans | Overseas equities | Level 2      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 74,056 142,243  
Non-U.S. Plans | Overseas equities | Level 3      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 0 0  
Non-U.S. Plans | Overseas equities | Investments measured at Net Asset Value      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 76,813 101,071  
Non-U.S. Plans | Domestic bonds      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 38,448 48,119  
Non-U.S. Plans | Domestic bonds | Level 1      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 0 0  
Non-U.S. Plans | Domestic bonds | Level 2      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 38,448 48,119  
Non-U.S. Plans | Domestic bonds | Level 3      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 0 0  
Non-U.S. Plans | Domestic bonds | Investments measured at Net Asset Value      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 0 0  
Non-U.S. Plans | Overseas bonds      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 597,594 1,106,201  
Non-U.S. Plans | Overseas bonds | Level 1      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 0 0  
Non-U.S. Plans | Overseas bonds | Level 2      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 532,697 1,049,585  
Non-U.S. Plans | Overseas bonds | Level 3      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 0 0  
Non-U.S. Plans | Overseas bonds | Investments measured at Net Asset Value      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 64,897 56,616  
Non-U.S. Plans | Cash and equivalents      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 11,502 28,901  
Non-U.S. Plans | Cash and equivalents | Level 1      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 9,667 27,579  
Non-U.S. Plans | Cash and equivalents | Level 2      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 1,835 1,322  
Non-U.S. Plans | Cash and equivalents | Level 3      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 0 0  
Non-U.S. Plans | Cash and equivalents | Investments measured at Net Asset Value      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 0 0  
Non-U.S. Plans | Real estate      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 143,903 187,689  
Non-U.S. Plans | Real estate | Level 1      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 0 0  
Non-U.S. Plans | Real estate | Level 2      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 4,076 17,319  
Non-U.S. Plans | Real estate | Level 3      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 102,868 116,936 105,422
Non-U.S. Plans | Real estate | Investments measured at Net Asset Value      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 36,959 53,434  
Non-U.S. Plans | Insurance contracts      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 80,231 133,802  
Non-U.S. Plans | Insurance contracts | Level 1      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 0 0  
Non-U.S. Plans | Insurance contracts | Level 2      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 0 0  
Non-U.S. Plans | Insurance contracts | Level 3      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 80,231 133,802 67,709
Non-U.S. Plans | Insurance contracts | Investments measured at Net Asset Value      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 0  
Non-U.S. Plans | Hedge funds      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 150,171 247,339  
Non-U.S. Plans | Hedge funds | Level 1      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 0 0  
Non-U.S. Plans | Hedge funds | Level 2      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 0 0  
Non-U.S. Plans | Hedge funds | Level 3      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 138,603 231,319 $ 171,730
Non-U.S. Plans | Hedge funds | Investments measured at Net Asset Value      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 11,568 16,020  
Non-U.S. Plans | Mutual funds      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 80,713 119,351  
Non-U.S. Plans | Mutual funds | Level 1      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 0 0  
Non-U.S. Plans | Mutual funds | Level 2      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 80,713 119,351  
Non-U.S. Plans | Mutual funds | Level 3      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year 0 0  
Non-U.S. Plans | Mutual funds | Investments measured at Net Asset Value      
Defined Benefit Plan Disclosure [Line Items]      
Fair value of plan assets at the end of the year $ 0 $ 0