Availability required to pay distributions or repurchase common units.

No definition available.

Name:	sgu_AvailabilityRequiredToPayDistributionsOrRepurchaseCommonUnits
Namespace Prefix:	sgu_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

- Definition

Minimum fixed charge coverage ratio for distributions to unit holders or repurchase common units.

+ References

No definition available.

+ Details

Name:	sgu_MinimumFixedChargeCoverageRatioForDistributionsToUnitholdersOrRepurchaseCommonUnits
Namespace Prefix:	sgu_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	duration

- Definition

Minimum percentage of borrowing capacity to pay any distributions to unitholders or repurchase common units.

+ References

No definition available.

+ Details

Name:	sgu_MinimumPercentageOfBorrowingCapacityToPayAnyDistributionsToUnitholdersOrRepurchaseCommonUnits
Namespace Prefix:	sgu_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	duration

- 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

Name:	us-gaap_CapitalUnitLineItems
Namespace Prefix:	us-gaap_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

- Definition

Maximum borrowing capacity under the credit facility without consideration of any current restrictions on the amount that could be borrowed or the amounts currently outstanding under the facility.

+ References

+ Details

Name:	us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	instant

- Definition

The number of shares authorized to be repurchased by an entity's Board of Directors under a stock repurchase plan.

+ References

No definition available.

+ Details

Name:	us-gaap_StockRepurchaseProgramNumberOfSharesAuthorizedToBeRepurchased
Namespace Prefix:	us-gaap_
Data Type:	xbrli:sharesItemType
Balance Type:	na
Period Type:	instant

- Definition

Number of shares that have been repurchased and retired during the period.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 210
-SubTopic 10
-Section S99
-Paragraph 1
-Subparagraph (SX 210.5-02(28))
-URI https://asc.fasb.org/extlink&oid=120391452&loc=d3e13212-122682

Reference 2: 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

Reference 3: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 210
-SubTopic 10
-Section S99
-Paragraph 1
-Subparagraph (SX 210.5-02(29))
-URI https://asc.fasb.org/extlink&oid=120391452&loc=d3e13212-122682

Reference 4: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 505
-SubTopic 10
-Section 50
-Paragraph 2
-URI https://asc.fasb.org/extlink&oid=126973232&loc=d3e21463-112644

+ Details

Name:	us-gaap_StockRepurchasedAndRetiredDuringPeriodShares
Namespace Prefix:	us-gaap_
Data Type:	xbrli:sharesItemType
Balance Type:	na
Period Type:	duration

- Details

Name:	us-gaap_LineOfCreditFacilityAxis=sgu_SixthAmendmentMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_ShareRepurchaseProgramAxis=sgu_CommonStockRepurchaseProgramMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_SubsequentEventTypeAxis=us-gaap_SubsequentEventMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_ShareRepurchaseProgramAxis=sgu_CommonStockRepurchaseProgramUnderPrivatelyNegotiatedMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

- Details

Name:	us-gaap_ShareRepurchaseProgramAxis=sgu_CommonStockRepurchaseProgramUnderOpenMarketMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

Common Unit Repurchase and Retirement - Additional Information (Detail) - USD ($) shares in Thousands			1 Months Ended			3 Months Ended	120 Months Ended	122 Months Ended
	Jan. 31, 2023	Jul. 06, 2022	Dec. 31, 2022	Nov. 30, 2022	Oct. 31, 2022	Dec. 31, 2022	Sep. 30, 2022	Aug. 31, 2022	Jul. 31, 2022	Dec. 04, 2019
Capital Unit [Line Items]
Company's common units authorized for repurchase								1,700	400
Sixth Amendment
Capital Unit [Line Items]
Availability required to repurchase common units		$ 60,000,000
Percentage of the maximum facility size on a historical proforma and forward-looking basis		15.00%
Non Seasonal maximum borrowing capacity under revolving credit facility		$ 400,000,000								$ 400,000,000
Minimum fixed charge coverage ratio for distributions to unit holders or to repurchase common units		115.00%
Repurchase Plan
Capital Unit [Line Items]
Company's common units repurchased and retired			90	167	154	411	24,933	19,900
Repurchase Plan \| Subsequent Event
Capital Unit [Line Items]
Company's common units repurchased and retired	0
Common Stock Available for Repurchase Under Privately Negotiated Transactions
Capital Unit [Line Items]
Company's common units authorized for repurchase	300							300
Common Stock Available for Repurchase Under Open Market Transactions
Capital Unit [Line Items]
Company's common units authorized for repurchase	800							1,400