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Common Unit Repurchase and Retirement - Company's Repurchase Activities (Parenthetical) (Detail) - shares | Jul. 31, 2025 | May 31, 2023 | Jul. 31, 2022
--- | --- | --- | ---
Capital Unit [Line Items] |  |  |
Company's common units authorized for repurchase |  | 2,600,000 | 1,100,000
Subsequent Event |  |  |
Capital Unit [Line Items] |  |  |
Number of units purchased | 700,000 |  |
Common Stock Available for Repurchase Under Open Market Transactions |  |  |
Capital Unit [Line Items] |  |  |
Company's common units authorized for repurchase |  | 2,300,000 |
Common Stock Available for Repurchase Under Open Market Transactions | Subsequent Event |  |  |
Capital Unit [Line Items] |  |  |
Company's common units authorized for repurchase | 1,000,000 |  |
Common Stock Available for Repurchase Under Privately Negotiated Transactions |  |  |
Capital Unit [Line Items] |  |  |
Company's common units authorized for repurchase |  | 300,000 |
Common Stock Available for Repurchase Under Privately Negotiated Transactions | Subsequent Event |  |  |
Capital Unit [Line Items] |  |  |
Company's common units authorized for repurchase | 300,000 |  |

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- Definition Total number of units purchased. + References No definition available. + Details
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Namespace Prefix: | sgu_
Data Type: | xbrli:sharesItemType
Balance Type: | na
Period Type: | instant

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- Definition Number of shares authorized to be purchased under share repurchase plan. Includes, but is not limited to, repurchase of stock and unit of ownership. + References Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef -Topic 505 -SubTopic 30 -Name Accounting Standards Codification -Section 50 -Paragraph 4 -Publisher FASB -URI https://asc.fasb.org/1943274/2147481520/505-30-50-4 + Details
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- Definition Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table. + References No definition available. + Details
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- Details
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- Details
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Namespace Prefix: |
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- Details
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