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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 |

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