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Stock Options, Restricted Stock and Restricted Stock Units (Details Textual) (USD $)
In Millions, except Share data, unless otherwise specified
12 Months Ended 1 Months Ended
Dec. 31, 2014
Feb. 28, 2014
May 31, 2014
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Maximum term of the awards granted under the Plan 10 years    
Stock-based compensation cost which has not yet been recognized $ 28.8us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized    
Stock-based compensation cost recognized period, in months 42 months    
Restricted stock awarded subject to performance condition 398,000stra_RestrictedStockAwardSubjectToPerformanceCondition    
Number of shares not meeting performance criteria 45,920stra_NumberOfSharesNotMeetingPerformanceCriteria    
Reduction in stock based compensation $ 7.0stra_ReductionInStockBasedCompensation    
Board of Directors [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Shares approved for grants   46,064us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorized
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= us-gaap_BoardOfDirectorsChairmanMember
 
Vesting percentage   100.00%us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardAwardVestingRightsPercentage
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= us-gaap_BoardOfDirectorsChairmanMember
 
Vesting date   Feb. 28, 2018  
Closing price of stock on date of stock grant   $ 33.65stra_ClosingPriceOfStockOnDateOfStockGrant
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= us-gaap_BoardOfDirectorsChairmanMember
 
Board of Directors [Member] | Vesting over four years [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Shares approved for grants     46,674us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorized
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= us-gaap_BoardOfDirectorsChairmanMember
/ us-gaap_VestingAxis
= stra_VestingPeriodOneMember
Vesting period, years     4 years
Board of Directors [Member] | Vesting over three years [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Shares approved for grants     15,868us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorized
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= us-gaap_BoardOfDirectorsChairmanMember
/ us-gaap_VestingAxis
= stra_VestingPeriodTwoMember
Vesting period, years     3 years
Closing price of stock on date of stock grant     42.85stra_ClosingPriceOfStockOnDateOfStockGrant
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= us-gaap_BoardOfDirectorsChairmanMember
/ us-gaap_VestingAxis
= stra_VestingPeriodTwoMember