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Subsequent Events - Additional Information (Detail) - Dividend Declared $ / shares in Units, $ in Millions	Jan. 31, 2023 USD ($) $ / shares
Subsequent Event [Line Items]
Distribution declared | $ / shares	$ 0.1525
Partners capital projected distribution amount on annualized basis | $ / shares	0.61
Minimum dividend distribution per unit | $ / shares	$ 0.0675
Amount to paid to common unit holders	$ 5.4
Amount to paid to the General Partner	0.3
Incentive distribution to the General Partner	0.3
Incentive distributions to management	$ 0.3
Dividend paid date	Jan. 31, 2023
Dividend record date	Jan. 23, 2023

X

- Definition

Incentive distribution to the general partner.

+ References

No definition available.

+ Details

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Balance Type:	debit
Period Type:	duration

X

- Definition

Incentive distributions to management.

+ References

No definition available.

+ Details

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X

- Definition

Minimum dividend distribution per unit.

+ References

No definition available.

+ Details

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Namespace Prefix:	sgu_
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Balance Type:	na
Period Type:	duration

X

- Definition

Partners capital projected distribution amount on annualized basis per share.

+ References

No definition available.

+ Details

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Namespace Prefix:	sgu_
Data Type:	dtr-types:perShareItemType
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X

- Definition

Date the declared dividend will be paid, in YYYY-MM-DD format.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 230
-SubTopic 10
-Section 50
-Paragraph 3
-URI https://asc.fasb.org/extlink&oid=126999549&loc=d3e4304-108586

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X

- Definition

Date the holder must own the stock to be entitled to the dividend, in YYYY-MM-DD format.

+ References

No definition available.

+ Details

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Namespace Prefix:	us-gaap_
Data Type:	xbrli:dateItemType
Balance Type:	na
Period Type:	duration

X

- Definition

The total amount of distributions to the general partner during the period.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 505
-SubTopic 10
-Section S99
-Paragraph 1
-Subparagraph (SX 210.3-04)
-URI https://asc.fasb.org/extlink&oid=120397183&loc=d3e187085-122770

+ Details

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Namespace Prefix:	us-gaap_
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Balance Type:	debit
Period Type:	duration

X

- Definition

The total amount of distributions to limited partners.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 505
-SubTopic 10
-Section S99
-Paragraph 5
-Subparagraph (SAB TOPIC 4.F)
-URI https://asc.fasb.org/extlink&oid=120397183&loc=d3e187171-122770

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Balance Type:	debit
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X

- Definition

The distribution amount per share for all classes of units.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 505
-SubTopic 10
-Section S99
-Paragraph 5
-Subparagraph (SAB TOPIC 4.F)
-URI https://asc.fasb.org/extlink&oid=120397183&loc=d3e187171-122770

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X

- Definition

Detail information of subsequent event by type. User is expected to use existing line items from elsewhere in the taxonomy as the primary line items for this disclosure, which is further associated with dimension and member elements pertaining to a subsequent event.

+ References

No definition available.

+ Details

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Period Type:	duration

X

- Details

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