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Pension and Other Postretirement Benefit Plans - Schedule of Fair Value of Pension Plan Assets (Details) - Pension Plan - USD ($) $ in Thousands	Oct. 01, 2021	Oct. 02, 2020	Sep. 27, 2019
U.S. Plans
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets at the end of the year	$ 385,521	$ 382,250	$ 390,210
U.S. Plans | Level 1
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets at the end of the year	237,653	231,493
U.S. Plans | Level 2
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets at the end of the year	147,868	150,757
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	12,331	12,376
U.S. Plans | Equities | Level 1
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets at the end of the year	12,331	12,376
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	206,594	199,858
U.S. Plans | Domestic bonds | Level 1
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets at the end of the year	74,456	68,324
U.S. Plans | Domestic bonds | Level 2
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets at the end of the year	132,138	131,534
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	15,730	19,223
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	15,730	19,223
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	22,634	18,226
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	22,634	18,226
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	128,232	132,567
U.S. Plans | Mutual funds | Level 1
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets at the end of the year	128,232	132,567
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	2,203,495	2,043,356	1,916,637
Non-U.S. Plans | Level 1
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets at the end of the year	27,579	24,568
Non-U.S. Plans | Level 2
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets at the end of the year		1,495,727
Non-U.S. Plans | Level 3
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets at the end of the year	482,057	344,861
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		178,200
Non-U.S. Plans | Equities
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets at the end of the year	88,779	108,781
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	86,117	103,036
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	2,662	5,745
Non-U.S. Plans | Overseas equities
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets at the end of the year	243,314	317,301
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	142,243	229,576
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	101,071	87,725
Non-U.S. Plans | Domestic bonds
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets at the end of the year	48,119	35,644
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	48,119	34,469
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	1,175
Non-U.S. Plans | Overseas bonds
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets at the end of the year	1,106,201	1,107,612
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	1,049,585	1,049,119
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	56,616	58,493
Non-U.S. Plans | Cash and equivalents
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets at the end of the year	28,901	24,568
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	27,579	24,568
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	1,322	0
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	187,689	115,805
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	17,319	10,383
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	116,936	105,422	97,539
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	53,434	0
Non-U.S. Plans | Insurance contracts
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets at the end of the year	133,802	90,020
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	4,402
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	133,802	67,709	72,788
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	17,909
Non-U.S. Plans | Hedge funds
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets at the end of the year	247,339	178,883
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	231,319	171,730	$ 130,200
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	16,020	7,153
Non-U.S. Plans | Mutual funds
Defined Benefit Plan Disclosure [Line Items]
Fair value of plan assets at the end of the year	119,351	64,742
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	119,351	64,742
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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Amount of asset segregated and restricted to provide benefit under defined benefit plan. Asset includes, but is not limited to, stock, bond, other investment, earning from investment, and contribution by employer and employee.

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