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Benefit Plans (Projected benefit obligation exceeding the fair value of plan assets) (Details) (USD $)
In Thousands, unless otherwise specified
Mar. 31, 2015
Mar. 31, 2014
Sep. 30, 2008
Defined Benefit Plan Disclosure [Line Items]      
Defined Benefit Plan, Fair Value of Plan Assets $ 50,426us-gaap_DefinedBenefitPlanFairValueOfPlanAssets $ 48,613us-gaap_DefinedBenefitPlanFairValueOfPlanAssets  
Defined Benefit Plan, Accumulated Benefit Obligation     46,001us-gaap_DefinedBenefitPlanAccumulatedBenefitObligation
United States Pension Plans of US Entity, Defined Benefit      
Defined Benefit Plan Disclosure [Line Items]      
Defined Benefit Plan, Fair Value of Plan Assets 50,426us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
/ ste_DefinedBenefitPlansProjectedBenefitObligationExceedingFairValueAxis
= ste_UsPensionPlansDomain
48,613us-gaap_DefinedBenefitPlanFairValueOfPlanAssets
/ ste_DefinedBenefitPlansProjectedBenefitObligationExceedingFairValueAxis
= ste_UsPensionPlansDomain
 
Defined Benefit Plan, Accumulated Benefit Obligation $ 56,612us-gaap_DefinedBenefitPlanAccumulatedBenefitObligation
/ ste_DefinedBenefitPlansProjectedBenefitObligationExceedingFairValueAxis
= ste_UsPensionPlansDomain
$ 49,206us-gaap_DefinedBenefitPlanAccumulatedBenefitObligation
/ ste_DefinedBenefitPlansProjectedBenefitObligationExceedingFairValueAxis
= ste_UsPensionPlansDomain