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Revenue Recognition - Revenue by Product Class and Timing (Detail) - USD ($) $ in Thousands | 3 Months Ended | 9 Months Ended
--- | --- | ---
Feb. 28, 2023 | Feb. 28, 2022 | Feb. 28, 2023 | Feb. 28, 2022
Disaggregation Of Revenue [Line Items] |  |  |  |  |
Net sales |  | $ 1,103,322 | $ 1,378,235 | $ 3,687,528 | $ 3,721,914
Steel Processing |  |  |  |  |
Disaggregation Of Revenue [Line Items] |  |  |  |  |
Net sales |  | 757,007 | 1,052,562 | 2,637,834 | 2,813,214
Direct | Steel Processing |  |  |  |  |
Disaggregation Of Revenue [Line Items] |  |  |  |  |
Net sales |  | 722,328 | 1,015,716 | 2,531,722 | 2,704,411
Toll | Steel Processing |  |  |  |  |
Disaggregation Of Revenue [Line Items] |  |  |  |  |
Net sales |  | 34,679 | 36,846 | 106,112 | 108,803
Toll | Steel Processing | Over time revenue |  |  |  |  |
Disaggregation Of Revenue [Line Items] |  |  |  |  |
Net sales |  | 34,679 | 36,846 | 106,112 | 108,803
Building Products |  |  |  |  |
Disaggregation Of Revenue [Line Items] |  |  |  |  |
Net sales | [1] | 151,876 | 132,944 | 443,870 | 368,813
Consumer products |  |  |  |  |
Disaggregation Of Revenue [Line Items] |  |  |  |  |
Net sales | [1] | 162,647 | 161,692 | 505,145 | 450,268
Sustainable Energy Solutions |  |  |  |  |
Disaggregation Of Revenue [Line Items] |  |  |  |  |
Net sales | [1] | $ 31,792 | $ 31,037 | $ 100,679 | $ 89,619
[1] | The products contained within each of these operating segments have similar production processes, require substantially the same raw materials, use similar equipment, and serve similar purposes. Therefore, we believe the products within each of these operating segments are appropriately combined for purposes of the disclosure requirements prescribed by Accounting Standards Codification (“ASC”) Topic 280 and Topic 606.

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- Definition Amount, excluding tax collected from customer, of revenue from satisfaction of performance obligation by transferring promised good or service to customer. Tax collected from customer is tax assessed by governmental authority that is both imposed on and concurrent with specific revenue-producing transaction, including, but not limited to, sales, use, value added and excise. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 280 -SubTopic 10 -Section 50 -Paragraph 30 -Subparagraph (a) -URI https://asc.fasb.org/extlink&oid=126901519&loc=d3e8906-108599 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 280 -SubTopic 10 -Section 50 -Paragraph 40 -URI https://asc.fasb.org/extlink&oid=126901519&loc=d3e9031-108599 Reference 3: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 280 -SubTopic 10 -Section 50 -Paragraph 41 -Subparagraph (a) -URI https://asc.fasb.org/extlink&oid=126901519&loc=d3e9038-108599 Reference 4: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 280 -SubTopic 10 -Section 50 -Paragraph 32 -Subparagraph (b) -URI https://asc.fasb.org/extlink&oid=126901519&loc=d3e8933-108599 Reference 5: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 280 -SubTopic 10 -Section 50 -Paragraph 32 -Subparagraph (a) -URI https://asc.fasb.org/extlink&oid=126901519&loc=d3e8933-108599 Reference 6: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 606 -SubTopic 10 -Section 50 -Paragraph 4 -Subparagraph (a) -URI https://asc.fasb.org/extlink&oid=126920106&loc=SL49130543-203045 Reference 7: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 280 -SubTopic 10 -Section 50 -Paragraph 22 -Subparagraph (b) -URI https://asc.fasb.org/extlink&oid=126901519&loc=d3e8736-108599 Reference 8: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 280 -SubTopic 10 -Section 50 -Paragraph 22 -Subparagraph (a) -URI https://asc.fasb.org/extlink&oid=126901519&loc=d3e8736-108599 Reference 9: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 280 -SubTopic 10 -Section 50 -Paragraph 42 -URI https://asc.fasb.org/extlink&oid=126901519&loc=d3e9054-108599 Reference 10: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 606 -SubTopic 10 -Section 50 -Paragraph 5 -URI https://asc.fasb.org/extlink&oid=126920106&loc=SL49130545-203045 Reference 11: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 924 -SubTopic 10 -Section S99 -Paragraph 1 -Subparagraph (SAB Topic 11.L) -URI https://asc.fasb.org/extlink&oid=6472922&loc=d3e499488-122856 + Details
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