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Pension and Other Postretirement Benefit Plans - Narrative (Details) - USD ($) $ in Thousands | 3 Months Ended | 12 Months Ended |
--- | --- | --- | ---
Jul. 02, 2021 | Sep. 30, 2022 | Oct. 01, 2021 | Oct. 02, 2020 | Mar. 02, 2021
Defined Benefit Plan Disclosure [Line Items] |  |  |  |  |
Loss on pension and retiree medical plan changes |  | $ 123 | $ 2,783 | $ 4,598 |
Gain on litigation settlement |  | $ 19,500 |  |  |
Pension Plan |  |  |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |  |  |
Period of annual average returns used in return on plan assets simulation model (in years) |  | 20 years |  |  |
PA Consulting Group Limited |  |  |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |  |  |
Percentage of outstanding shares of common and preferred stock acquired |  |  |  |  | 65.00%
PA Consulting | Pension Plan |  |  |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |  |  |
Net benefit obligation at the end of the year |  |  |  |  | $ 1,025,000
Fair value of plan assets at the end of the year |  |  |  |  | $ 1,018,000
Plan assets (decrease) for assets transferred from Plan | $ 960,000 |  |  |  |
Benefit obligation decrease for liabilities transferred from plan | $ 960,000 |  |  |  |
Sverdrup and Ireland Pension Plans | Pension Plan |  |  |  |  |
Defined Benefit Plan Disclosure [Line Items] |  |  |  |  |
Loss on pension and retiree medical plan changes |  | $ 100 | $ 2,800 |  |

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