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Stock-Based Compensation Plans and Employee Benefits (Stock-based Compensation) (Details) (USD $)
3 Months Ended 1 Months Ended 6 Months Ended
Mar. 31, 2015
Mar. 31, 2014
Jan. 31, 2014
Jan. 31, 2015
Jun. 30, 2013
Jan. 30, 2015
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Stock-based compensation expense $ 3,238,000us-gaap_AllocatedShareBasedCompensationExpense $ 2,075,000us-gaap_AllocatedShareBasedCompensationExpense        
Unrecognized compensation cost 3,300,000us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized          
Weighted-average period to recognize the unrecognized compensation cost 1 year 7 months 2 days          
Deferred compensation share-based arrangements, liability, current and noncurrent $ 10,500,000us-gaap_DeferredCompensationSharebasedArrangementsLiabilityCurrentAndNoncurrent          
Long-term Incentive Plan 2006 and 2009            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Shares available for issuance 3,800,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForGrant
/ us-gaap_PlanNameAxis
= star_LongTermIncentivePlan2006And2009Member
         
Employees | Common Stock Subject to Sales Restriction            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Vested, Number of Shares 318,482us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriod
/ us-gaap_AwardTypeAxis
= star_CommonStockSubjecttoSalesRestrictionMember
/ star_ScheduleOfShareBasedCompensationArrangementByTitleOfIndividualAxis
= star_EmployeesMember
         
Granted, Number of Shares 318,482us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardTypeAxis
= star_CommonStockSubjecttoSalesRestrictionMember
/ star_ScheduleOfShareBasedCompensationArrangementByTitleOfIndividualAxis
= star_EmployeesMember
         
Restricted shares awarded 189,241us-gaap_RestrictedStockSharesIssuedNetOfSharesForTaxWithholdings
/ us-gaap_AwardTypeAxis
= star_CommonStockSubjecttoSalesRestrictionMember
/ star_ScheduleOfShareBasedCompensationArrangementByTitleOfIndividualAxis
= star_EmployeesMember
         
Sale restriction period 2 years          
Employees | Service Based Restricted Stock Units Vesting on December 31, 2017 [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Granted units           64,196star_SharebasedCompensationArrangementbySharebasedPaymentAwardEquityInstrumentsOtherthanOptionsGrantedNumber
/ us-gaap_AwardTypeAxis
= star_ServiceBasedRestrictedStockUnitsVestingonDecember312017Member
/ star_ScheduleOfShareBasedCompensationArrangementByTitleOfIndividualAxis
= star_EmployeesMember
Non-vested, outstanding (in shares) 64,196us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber
/ us-gaap_AwardTypeAxis
= star_ServiceBasedRestrictedStockUnitsVestingonDecember312017Member
/ star_ScheduleOfShareBasedCompensationArrangementByTitleOfIndividualAxis
= star_EmployeesMember
         
Employees | Performance-based restricted stock units vesting on December 31, 2016            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Non-vested, outstanding (in shares) 50,116us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber
/ us-gaap_AwardTypeAxis
= star_PerformanceBasedRestrictedStockUnitsVestingonDecember312016Member
/ star_ScheduleOfShareBasedCompensationArrangementByTitleOfIndividualAxis
= star_EmployeesMember
         
Risk-free interest rate     0.76%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRate
/ us-gaap_AwardTypeAxis
= star_PerformanceBasedRestrictedStockUnitsVestingonDecember312016Member
/ star_ScheduleOfShareBasedCompensationArrangementByTitleOfIndividualAxis
= star_EmployeesMember
     
Expected stock price volatility     44.84%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRate
/ us-gaap_AwardTypeAxis
= star_PerformanceBasedRestrictedStockUnitsVestingonDecember312016Member
/ star_ScheduleOfShareBasedCompensationArrangementByTitleOfIndividualAxis
= star_EmployeesMember
     
Employees | Performance-based restricted stock units vesting on December 31, 2016 | Minimum            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Vesting percentage     0.00%star_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestingPercentage
/ us-gaap_AwardTypeAxis
= star_PerformanceBasedRestrictedStockUnitsVestingonDecember312016Member
/ us-gaap_RangeAxis
= us-gaap_MinimumMember
/ star_ScheduleOfShareBasedCompensationArrangementByTitleOfIndividualAxis
= star_EmployeesMember
     
Employees | Performance-based restricted stock units vesting on December 31, 2016 | Maximum            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Vesting percentage     200.00%star_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestingPercentage
/ us-gaap_AwardTypeAxis
= star_PerformanceBasedRestrictedStockUnitsVestingonDecember312016Member
/ us-gaap_RangeAxis
= us-gaap_MaximumMember
/ star_ScheduleOfShareBasedCompensationArrangementByTitleOfIndividualAxis
= star_EmployeesMember
     
Employees | Performance Based Restricted Stock Units Vesting on December 31, 2017 [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Granted units           49,650star_SharebasedCompensationArrangementbySharebasedPaymentAwardEquityInstrumentsOtherthanOptionsGrantedNumber
/ us-gaap_AwardTypeAxis
= star_PerformanceBasedRestrictedStockUnitsVestingonDecember312017Member
/ star_ScheduleOfShareBasedCompensationArrangementByTitleOfIndividualAxis
= star_EmployeesMember
Non-vested, outstanding (in shares) 49,650us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber
/ us-gaap_AwardTypeAxis
= star_PerformanceBasedRestrictedStockUnitsVestingonDecember312017Member
/ star_ScheduleOfShareBasedCompensationArrangementByTitleOfIndividualAxis
= star_EmployeesMember
         
Risk-free interest rate       0.75%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRate
/ us-gaap_AwardTypeAxis
= star_PerformanceBasedRestrictedStockUnitsVestingonDecember312017Member
/ star_ScheduleOfShareBasedCompensationArrangementByTitleOfIndividualAxis
= star_EmployeesMember
   
Expected stock price volatility       28.14%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRate
/ us-gaap_AwardTypeAxis
= star_PerformanceBasedRestrictedStockUnitsVestingonDecember312017Member
/ star_ScheduleOfShareBasedCompensationArrangementByTitleOfIndividualAxis
= star_EmployeesMember
   
Employees | Performance Based Restricted Stock Units Vesting on December 31, 2017 [Member] | Minimum            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Vesting percentage       0.00%star_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestingPercentage
/ us-gaap_AwardTypeAxis
= star_PerformanceBasedRestrictedStockUnitsVestingonDecember312017Member
/ us-gaap_RangeAxis
= us-gaap_MinimumMember
/ star_ScheduleOfShareBasedCompensationArrangementByTitleOfIndividualAxis
= star_EmployeesMember
   
Employees | Performance Based Restricted Stock Units Vesting on December 31, 2017 [Member] | Maximum            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Vesting percentage       200.00%star_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestingPercentage
/ us-gaap_AwardTypeAxis
= star_PerformanceBasedRestrictedStockUnitsVestingonDecember312017Member
/ us-gaap_RangeAxis
= us-gaap_MaximumMember
/ star_ScheduleOfShareBasedCompensationArrangementByTitleOfIndividualAxis
= star_EmployeesMember
   
Employees | Service Based Restricted Stock Units Vesting on December 31, 2016 [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Non-vested, outstanding (in shares) 64,552us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber
/ us-gaap_AwardTypeAxis
= star_ServiceBasedRestrictedStockUnitsVestingonDecember312016Member
/ star_ScheduleOfShareBasedCompensationArrangementByTitleOfIndividualAxis
= star_EmployeesMember
         
Employees | Service-based restricted stock units vesting on February 1, 2016            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Non-vested, outstanding (in shares) 194,582us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber
/ us-gaap_AwardTypeAxis
= star_ServicebasedRestrictedStockUnitsVestingonFebruary12016Member
/ star_ScheduleOfShareBasedCompensationArrangementByTitleOfIndividualAxis
= star_EmployeesMember
         
Employees | Service based restricted stock units with specified vesting dates            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Non-vested, outstanding (in shares) 10,666us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber
/ us-gaap_AwardTypeAxis
= star_ServiceBasedRestrictedStockUnitsWithSpecifiedVestingTermsMember
/ star_ScheduleOfShareBasedCompensationArrangementByTitleOfIndividualAxis
= star_EmployeesMember
         
Employees | Service based restricted stock units with specified vesting dates | Minimum            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Vesting term         3 years