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Restructuring and Other Charges - Summary of Restructuring and Other Activities by Major Type of Costs (Details) - USD ($) $ in Thousands | 3 Months Ended | 6 Months Ended
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Apr. 01, 2022 | Apr. 02, 2021 | Apr. 01, 2022 | Apr. 02, 2021
Restructuring Cost and Reserve [Line Items] |  |  |  |
Impairment of equity method investment |  |  | $ 74,585 | $ 33,197
People & Places Solutions |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |
Real estate impairment and other transformation activities |  |  | 71,000 |
AWE Management Ltd |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |
Impairment of equity method investment |  | $ 33,200 |  | 33,200
Other | AWE Management Ltd |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |
Impairment of equity method investment |  |  |  | 33,200
CH2M Hill, KeyM, John Wood Group Acquisitions and ECR Sale |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |
Restructuring costs | $ 108,164 | 30,347 | 177,524 | 78,741
CH2M Hill, KeyM, John Wood Group Acquisitions and ECR Sale | Lease Abandonments and Impairments |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |
Restructuring costs | 2,294 | 2,062 | 67,837 | 2,211
CH2M Hill, KeyM, John Wood Group Acquisitions and ECR Sale | Voluntary and Involuntary Terminations |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |
Restructuring costs | 4,548 | 3,032 | 5,111 | 12,536
CH2M Hill, KeyM, John Wood Group Acquisitions and ECR Sale | Outside Services |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |
Restructuring costs | 11,500 | 18,314 | 16,176 | 25,713
CH2M Hill, KeyM, John Wood Group Acquisitions and ECR Sale | Other |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |
Restructuring costs | 89,822 | $ 6,939 | 88,400 | $ 38,281
CH2M HILL Companies, Ltd. |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |
Loss related to settlement | $ 91,300 |  | $ 91,300 |

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- Definition This item represents an other than temporary decline in value that has been recognized against an investment accounted for under the equity method of accounting. The excess of the carrying amount over the fair value of the investment represents the amount of the write down which is or was reflected in earnings. The written down value is a new cost basis with the adjusted value of the investment becoming its new carrying value subject to the equity accounting method. Evidence of a loss in value might include, but would not necessarily be limited to, absence of an ability to recover the carrying amount of the investment or inability of the investee to sustain an earnings capacity which would justify the carrying amount of the investment. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 323 -SubTopic 10 -Section 35 -Paragraph 32 -URI http://asc.fasb.org/extlink&oid=124268079&loc=d3e32787-111569 + Details
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