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Benefit Plans (Assumed long-term healthcare cost trend rate) (Details)
12 Months Ended
Mar. 31, 2015
Mar. 31, 2014
Mar. 31, 2013
Postemployment Benefits [Abstract]      
Healthcare cost trend rate medical 7.00%us-gaap_DefinedBenefitPlanHealthCareCostTrendRateAssumedForNextFiscalYear 7.00%us-gaap_DefinedBenefitPlanHealthCareCostTrendRateAssumedForNextFiscalYear 8.00%us-gaap_DefinedBenefitPlanHealthCareCostTrendRateAssumedForNextFiscalYear
Healthcare prescription drug 7.00%ste_HealthcarePrescriptionDrug 7.00%ste_HealthcarePrescriptionDrug 7.00%ste_HealthcarePrescriptionDrug
Defined Benefit Plan, Ultimate Health Care Cost Trend Rate 4.50%us-gaap_DefinedBenefitPlanUltimateHealthCareCostTrendRate 4.50%us-gaap_DefinedBenefitPlanUltimateHealthCareCostTrendRate 4.50%us-gaap_DefinedBenefitPlanUltimateHealthCareCostTrendRate