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Restructuring and Other (Income) Expense, Net - Schedule of Progression of Liabilities Associated with Restructuring Activities, Combined with Reconciliation to Restructuring and Other Income, Net (Parenthetical) (Detail) - USD ($) $ in Thousands |  |  |  |  | 12 Months Ended
--- | --- | --- | --- | --- | ---
Oct. 31, 2022 | Jun. 14, 2022 | Sep. 10, 2021 | Jun. 09, 2021 | May 31, 2023 | May 31, 2022 | May 31, 2021
Restructuring Cost and Reserve [Line Items] |  |  |  |  |  |  |
Pre-tax gain on sale of joint venture facility |  |  |  |  | $ 2,063 |  |
Operating lease buy out payment |  |  | $ 1,100 |  |  |  |
Operating lease buyout pretax gain |  |  | $ 857 |  |  |  |
Net (gain) loss on sale of assets |  |  |  |  | 5,466 | $ (15,794) |
Restructuring and other income, net |  |  |  |  | (4,571) | (17,096) | $ 56,097
Restructuring and other (income) expense, net |  |  |  |  |  | (445) |
WSP Joint Venture |  |  |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |  |  |
Net cash proceeds | $ 21,277 |  |  | $ 19,850 |  |  |
Pre-tax gain on sale of joint venture facility | 3,926 |  |  | 12,244 |  |  |
Net assets previously classified as held for sale | 14,263 |  |  | 7,606 |  |  |
Net proceeds from sale of business | 21,277 |  |  | $ 19,850 |  |  |
Amount held in escrow | $ 2,000 |  |  |  |  |  |
Wooster and Bremen, Ohio |  |  |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |  |  |
Net cash proceeds |  |  |  |  |  | 8,723 |
Pre-tax gain on sale of joint venture facility |  |  |  |  |  | 860 |
Net assets previously classified as held for sale |  |  |  |  |  | 7,863 |
Net proceeds from sale of business |  |  |  |  |  | $ 8,723 |
Decatur Alabama Steel Processing Facility |  |  |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |  |  |
Net cash proceeds |  |  |  |  | 4,000 |  |
Pre-tax gain on sale of joint venture facility |  |  |  |  | 2,634 |  |
Net assets previously classified as held for sale |  |  |  |  | 1,366 |  |
Net proceeds from sale of business |  |  |  |  | $ 4,000 |  |
Tulsa, Oklahoma |  |  |  |  |  |  |
Restructuring Cost and Reserve [Line Items] |  |  |  |  |  |  |
Net cash proceeds |  | $ 5,775 |  |  |  |  |
Pre-tax gain on sale of joint venture facility |  | 1,177 |  |  |  |  |
Net proceeds from sale of business |  | $ 5,775 |  |  |  |  |

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- Definition Amount of assets held-for-sale that are not part of a disposal group. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 360 -SubTopic 10 -Section 15 -Paragraph 4 -Subparagraph (b)(2) -URI https://asc.fasb.org/extlink&oid=126982154&loc=d3e400-110220 + Details
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- Definition The designation of funds furnished by a borrower to a lender to assure future payments of the borrower's real estate taxes and insurance obligations with respect to a mortgaged property. Escrow deposits may be made for a variety of other purposes such as earnest money and contingent payments. This element excludes replacement reserves which are an escrow separately provided for within the US GAAP taxonomy. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 942 -SubTopic 210 -Section S99 -Paragraph 1 -Subparagraph (SX 210.9-03.10) -URI https://asc.fasb.org/extlink&oid=126897435&loc=d3e534808-122878 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 954 -SubTopic 440 -Section 50 -Paragraph 1 -Subparagraph (d) -URI https://asc.fasb.org/extlink&oid=6491277&loc=d3e6429-115629 + Details
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