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Export Sales and Major Customers (Details) (USD $)
3 Months Ended
Nov. 30, 2014
Nov. 30, 2013
Revenues from domestic and export sales to unaffiliated customers    
Revenues, Total $ 2,418,000us-gaap_Revenues $ 2,115,000us-gaap_Revenues
Power Transistors [Member]    
Revenues from domestic and export sales to unaffiliated customers    
Revenues, Total 338,000us-gaap_Revenues
/ us-gaap_ProductOrServiceAxis
= sodi_PowerTransistorsMember
279,000us-gaap_Revenues
/ us-gaap_ProductOrServiceAxis
= sodi_PowerTransistorsMember
Hybrids [Member]    
Revenues from domestic and export sales to unaffiliated customers    
Revenues, Total 1,481,000us-gaap_Revenues
/ us-gaap_ProductOrServiceAxis
= sodi_HybridMember
984,000us-gaap_Revenues
/ us-gaap_ProductOrServiceAxis
= sodi_HybridMember
Field Effect Transistors [Member]    
Revenues from domestic and export sales to unaffiliated customers    
Revenues, Total 76,000us-gaap_Revenues
/ us-gaap_ProductOrServiceAxis
= sodi_FieldEffectTransistorsMember
126,000us-gaap_Revenues
/ us-gaap_ProductOrServiceAxis
= sodi_FieldEffectTransistorsMember
Power MOSFETS [Member]    
Revenues from domestic and export sales to unaffiliated customers    
Revenues, Total 523,000us-gaap_Revenues
/ us-gaap_ProductOrServiceAxis
= sodi_PowerMosfetsMember
726,000us-gaap_Revenues
/ us-gaap_ProductOrServiceAxis
= sodi_PowerMosfetsMember
Europe and Australia [Member]    
Revenues from domestic and export sales to unaffiliated customers    
Revenues, Total 123,000us-gaap_Revenues
/ us-gaap_StatementGeographicalAxis
= sodi_EuropeAndAustraliaMember
221,000us-gaap_Revenues
/ us-gaap_StatementGeographicalAxis
= sodi_EuropeAndAustraliaMember
Europe and Australia [Member] | Power Transistors [Member]    
Revenues from domestic and export sales to unaffiliated customers    
Revenues, Total 2,000us-gaap_Revenues
/ us-gaap_ProductOrServiceAxis
= sodi_PowerTransistorsMember
/ us-gaap_StatementGeographicalAxis
= sodi_EuropeAndAustraliaMember
0us-gaap_Revenues
/ us-gaap_ProductOrServiceAxis
= sodi_PowerTransistorsMember
/ us-gaap_StatementGeographicalAxis
= sodi_EuropeAndAustraliaMember
Europe and Australia [Member] | Hybrids [Member]    
Revenues from domestic and export sales to unaffiliated customers    
Revenues, Total 121,000us-gaap_Revenues
/ us-gaap_ProductOrServiceAxis
= sodi_HybridMember
/ us-gaap_StatementGeographicalAxis
= sodi_EuropeAndAustraliaMember
196,000us-gaap_Revenues
/ us-gaap_ProductOrServiceAxis
= sodi_HybridMember
/ us-gaap_StatementGeographicalAxis
= sodi_EuropeAndAustraliaMember
Europe and Australia [Member] | Field Effect Transistors [Member]    
Revenues from domestic and export sales to unaffiliated customers    
Revenues, Total 0us-gaap_Revenues
/ us-gaap_ProductOrServiceAxis
= sodi_FieldEffectTransistorsMember
/ us-gaap_StatementGeographicalAxis
= sodi_EuropeAndAustraliaMember
0us-gaap_Revenues
/ us-gaap_ProductOrServiceAxis
= sodi_FieldEffectTransistorsMember
/ us-gaap_StatementGeographicalAxis
= sodi_EuropeAndAustraliaMember
Europe and Australia [Member] | Power MOSFETS [Member]    
Revenues from domestic and export sales to unaffiliated customers    
Revenues, Total 0us-gaap_Revenues
/ us-gaap_ProductOrServiceAxis
= sodi_PowerMosfetsMember
/ us-gaap_StatementGeographicalAxis
= sodi_EuropeAndAustraliaMember
25,000us-gaap_Revenues
/ us-gaap_ProductOrServiceAxis
= sodi_PowerMosfetsMember
/ us-gaap_StatementGeographicalAxis
= sodi_EuropeAndAustraliaMember
Canada and Latin America [Member]    
Revenues from domestic and export sales to unaffiliated customers    
Revenues, Total 8,000us-gaap_Revenues
/ us-gaap_StatementGeographicalAxis
= sodi_CanadaAndLatinAmericaMember
35,000us-gaap_Revenues
/ us-gaap_StatementGeographicalAxis
= sodi_CanadaAndLatinAmericaMember
Canada and Latin America [Member] | Power Transistors [Member]    
Revenues from domestic and export sales to unaffiliated customers    
Revenues, Total 8,000us-gaap_Revenues
/ us-gaap_ProductOrServiceAxis
= sodi_PowerTransistorsMember
/ us-gaap_StatementGeographicalAxis
= sodi_CanadaAndLatinAmericaMember
22,000us-gaap_Revenues
/ us-gaap_ProductOrServiceAxis
= sodi_PowerTransistorsMember
/ us-gaap_StatementGeographicalAxis
= sodi_CanadaAndLatinAmericaMember
Canada and Latin America [Member] | Hybrids [Member]    
Revenues from domestic and export sales to unaffiliated customers    
Revenues, Total 0us-gaap_Revenues
/ us-gaap_ProductOrServiceAxis
= sodi_HybridMember
/ us-gaap_StatementGeographicalAxis
= sodi_CanadaAndLatinAmericaMember
0us-gaap_Revenues
/ us-gaap_ProductOrServiceAxis
= sodi_HybridMember
/ us-gaap_StatementGeographicalAxis
= sodi_CanadaAndLatinAmericaMember
Canada and Latin America [Member] | Field Effect Transistors [Member]    
Revenues from domestic and export sales to unaffiliated customers    
Revenues, Total 0us-gaap_Revenues
/ us-gaap_ProductOrServiceAxis
= sodi_FieldEffectTransistorsMember
/ us-gaap_StatementGeographicalAxis
= sodi_CanadaAndLatinAmericaMember
13,000us-gaap_Revenues
/ us-gaap_ProductOrServiceAxis
= sodi_FieldEffectTransistorsMember
/ us-gaap_StatementGeographicalAxis
= sodi_CanadaAndLatinAmericaMember
Canada and Latin America [Member] | Power MOSFETS [Member]    
Revenues from domestic and export sales to unaffiliated customers    
Revenues, Total 0us-gaap_Revenues
/ us-gaap_ProductOrServiceAxis
= sodi_PowerMosfetsMember
/ us-gaap_StatementGeographicalAxis
= sodi_CanadaAndLatinAmericaMember
0us-gaap_Revenues
/ us-gaap_ProductOrServiceAxis
= sodi_PowerMosfetsMember
/ us-gaap_StatementGeographicalAxis
= sodi_CanadaAndLatinAmericaMember
Far East and Middle East [Member]    
Revenues from domestic and export sales to unaffiliated customers    
Revenues, Total 122,000us-gaap_Revenues
/ us-gaap_StatementGeographicalAxis
= sodi_FarEastAndMiddleEastMember
47,000us-gaap_Revenues
/ us-gaap_StatementGeographicalAxis
= sodi_FarEastAndMiddleEastMember
Far East and Middle East [Member] | Power Transistors [Member]    
Revenues from domestic and export sales to unaffiliated customers    
Revenues, Total 0us-gaap_Revenues
/ us-gaap_ProductOrServiceAxis
= sodi_PowerTransistorsMember
/ us-gaap_StatementGeographicalAxis
= sodi_FarEastAndMiddleEastMember
0us-gaap_Revenues
/ us-gaap_ProductOrServiceAxis
= sodi_PowerTransistorsMember
/ us-gaap_StatementGeographicalAxis
= sodi_FarEastAndMiddleEastMember
Far East and Middle East [Member] | Hybrids [Member]    
Revenues from domestic and export sales to unaffiliated customers    
Revenues, Total 0us-gaap_Revenues
/ us-gaap_ProductOrServiceAxis
= sodi_HybridMember
/ us-gaap_StatementGeographicalAxis
= sodi_FarEastAndMiddleEastMember
0us-gaap_Revenues
/ us-gaap_ProductOrServiceAxis
= sodi_HybridMember
/ us-gaap_StatementGeographicalAxis
= sodi_FarEastAndMiddleEastMember
Far East and Middle East [Member] | Field Effect Transistors [Member]    
Revenues from domestic and export sales to unaffiliated customers    
Revenues, Total 16,000us-gaap_Revenues
/ us-gaap_ProductOrServiceAxis
= sodi_FieldEffectTransistorsMember
/ us-gaap_StatementGeographicalAxis
= sodi_FarEastAndMiddleEastMember
0us-gaap_Revenues
/ us-gaap_ProductOrServiceAxis
= sodi_FieldEffectTransistorsMember
/ us-gaap_StatementGeographicalAxis
= sodi_FarEastAndMiddleEastMember
Far East and Middle East [Member] | Power MOSFETS [Member]    
Revenues from domestic and export sales to unaffiliated customers    
Revenues, Total 106,000us-gaap_Revenues
/ us-gaap_ProductOrServiceAxis
= sodi_PowerMosfetsMember
/ us-gaap_StatementGeographicalAxis
= sodi_FarEastAndMiddleEastMember
47,000us-gaap_Revenues
/ us-gaap_ProductOrServiceAxis
= sodi_PowerMosfetsMember
/ us-gaap_StatementGeographicalAxis
= sodi_FarEastAndMiddleEastMember
United States [Member]    
Revenues from domestic and export sales to unaffiliated customers    
Revenues, Total 2,165,000us-gaap_Revenues
/ us-gaap_StatementGeographicalAxis
= country_US
1,812,000us-gaap_Revenues
/ us-gaap_StatementGeographicalAxis
= country_US
United States [Member] | Power Transistors [Member]    
Revenues from domestic and export sales to unaffiliated customers    
Revenues, Total 328,000us-gaap_Revenues
/ us-gaap_ProductOrServiceAxis
= sodi_PowerTransistorsMember
/ us-gaap_StatementGeographicalAxis
= country_US
257,000us-gaap_Revenues
/ us-gaap_ProductOrServiceAxis
= sodi_PowerTransistorsMember
/ us-gaap_StatementGeographicalAxis
= country_US
United States [Member] | Hybrids [Member]    
Revenues from domestic and export sales to unaffiliated customers    
Revenues, Total 1,360,000us-gaap_Revenues
/ us-gaap_ProductOrServiceAxis
= sodi_HybridMember
/ us-gaap_StatementGeographicalAxis
= country_US
788,000us-gaap_Revenues
/ us-gaap_ProductOrServiceAxis
= sodi_HybridMember
/ us-gaap_StatementGeographicalAxis
= country_US
United States [Member] | Field Effect Transistors [Member]    
Revenues from domestic and export sales to unaffiliated customers    
Revenues, Total 60,000us-gaap_Revenues
/ us-gaap_ProductOrServiceAxis
= sodi_FieldEffectTransistorsMember
/ us-gaap_StatementGeographicalAxis
= country_US
113,000us-gaap_Revenues
/ us-gaap_ProductOrServiceAxis
= sodi_FieldEffectTransistorsMember
/ us-gaap_StatementGeographicalAxis
= country_US
United States [Member] | Power MOSFETS [Member]    
Revenues from domestic and export sales to unaffiliated customers    
Revenues, Total $ 417,000us-gaap_Revenues
/ us-gaap_ProductOrServiceAxis
= sodi_PowerMosfetsMember
/ us-gaap_StatementGeographicalAxis
= country_US
$ 654,000us-gaap_Revenues
/ us-gaap_ProductOrServiceAxis
= sodi_PowerMosfetsMember
/ us-gaap_StatementGeographicalAxis
= country_US