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Employee Benefit Plans (Narrative) (Details) - USD ($) | 12 Months Ended
--- | ---
Dec. 31, 2023 | Dec. 31, 2022 | Dec. 31, 2021
Employee Benefit Plans |  |  |
Administrative expense |  | $ 3,500 | $ 1,550
Discretionary contribution | $ 268,000 | 256,000 | 250,000
Deferred Compensation Expense Non Qualified Plan | $ 226,000 | $ 135,000 | $ 100,000

X
- Definition The compensation expense recognized during the period pertaining to non qualified deferred compensation plan. + References No definition available. + Details
Name: | sga_DeferredCompensationExpenseNonQualifiedPlan
Namespace Prefix: | sga_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

X
- References No definition available. + Details
Name: | us-gaap_CompensationAndRetirementDisclosureAbstract
Namespace Prefix: | us-gaap_
Data Type: | xbrli:stringItemType
Balance Type: | na
Period Type: | duration

X
- Definition Amount of administrative expense incurred by defined contribution plan. + References No definition available. + Details
Name: | us-gaap_DefinedContributionPlanAdministrativeExpenses
Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

X
- Definition Amount of discretionary contributions made by an employer to a defined contribution plan. + References No definition available. + Details
Name: | us-gaap_DefinedContributionPlanEmployerDiscretionaryContributionAmount
Namespace Prefix: | us-gaap_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration