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Business Segment Information Level 4 (Details) (USD $)
In Thousands, unless otherwise specified
3 Months Ended 9 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2014
Dec. 31, 2013
Segment Reporting Information [Line Items]        
Revenues $ 473,244us-gaap_Revenues $ 405,551us-gaap_Revenues $ 1,348,616us-gaap_Revenues $ 1,156,965us-gaap_Revenues
Operating Income (Loss) 61,346us-gaap_OperatingIncomeLoss 55,890us-gaap_OperatingIncomeLoss 158,937us-gaap_OperatingIncomeLoss 147,202us-gaap_OperatingIncomeLoss
OperatingSegmentHealthcare [Member]        
Segment Reporting Information [Line Items]        
Revenues 353,197us-gaap_Revenues
/ us-gaap_StatementBusinessSegmentsAxis
= ste_OperatingsegmenthealthcareMember
291,831us-gaap_Revenues
/ us-gaap_StatementBusinessSegmentsAxis
= ste_OperatingsegmenthealthcareMember
1,007,176us-gaap_Revenues
/ us-gaap_StatementBusinessSegmentsAxis
= ste_OperatingsegmenthealthcareMember
828,051us-gaap_Revenues
/ us-gaap_StatementBusinessSegmentsAxis
= ste_OperatingsegmenthealthcareMember
Operating Income (Loss) 33,843us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= ste_OperatingsegmenthealthcareMember
31,238us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= ste_OperatingsegmenthealthcareMember
81,752us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= ste_OperatingsegmenthealthcareMember
72,111us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= ste_OperatingsegmenthealthcareMember
OperatingSegmentLifeSciences [Member]        
Segment Reporting Information [Line Items]        
Revenues 67,997us-gaap_Revenues
/ us-gaap_StatementBusinessSegmentsAxis
= ste_OperatingsegmentlifesciencesMember
64,128us-gaap_Revenues
/ us-gaap_StatementBusinessSegmentsAxis
= ste_OperatingsegmentlifesciencesMember
185,759us-gaap_Revenues
/ us-gaap_StatementBusinessSegmentsAxis
= ste_OperatingsegmentlifesciencesMember
182,425us-gaap_Revenues
/ us-gaap_StatementBusinessSegmentsAxis
= ste_OperatingsegmentlifesciencesMember
Operating Income (Loss) 16,402us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= ste_OperatingsegmentlifesciencesMember
12,092us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= ste_OperatingsegmentlifesciencesMember
41,395us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= ste_OperatingsegmentlifesciencesMember
38,672us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= ste_OperatingsegmentlifesciencesMember
OperatingSegmentIsomedix [Member]        
Segment Reporting Information [Line Items]        
Revenues 50,960us-gaap_Revenues
/ us-gaap_StatementBusinessSegmentsAxis
= ste_OperatingsegmentisomedixMember
49,157us-gaap_Revenues
/ us-gaap_StatementBusinessSegmentsAxis
= ste_OperatingsegmentisomedixMember
154,003us-gaap_Revenues
/ us-gaap_StatementBusinessSegmentsAxis
= ste_OperatingsegmentisomedixMember
144,792us-gaap_Revenues
/ us-gaap_StatementBusinessSegmentsAxis
= ste_OperatingsegmentisomedixMember
Operating Income (Loss) 12,508us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= ste_OperatingsegmentisomedixMember
14,054us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= ste_OperatingsegmentisomedixMember
43,098us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= ste_OperatingsegmentisomedixMember
42,484us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= ste_OperatingsegmentisomedixMember
OperatingSegmentAllExceptCorpandOther [Member]        
Segment Reporting Information [Line Items]        
Revenues 472,154us-gaap_Revenues
/ us-gaap_StatementBusinessSegmentsAxis
= ste_OperatingsegmentallexceptcorpandotherMember
405,116us-gaap_Revenues
/ us-gaap_StatementBusinessSegmentsAxis
= ste_OperatingsegmentallexceptcorpandotherMember
1,346,938us-gaap_Revenues
/ us-gaap_StatementBusinessSegmentsAxis
= ste_OperatingsegmentallexceptcorpandotherMember
1,155,268us-gaap_Revenues
/ us-gaap_StatementBusinessSegmentsAxis
= ste_OperatingsegmentallexceptcorpandotherMember
Operating Income (Loss) 62,753us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= ste_OperatingsegmentallexceptcorpandotherMember
57,384us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= ste_OperatingsegmentallexceptcorpandotherMember
166,245us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= ste_OperatingsegmentallexceptcorpandotherMember
153,267us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= ste_OperatingsegmentallexceptcorpandotherMember
OperatingSegmentCorpandOther [Member]        
Segment Reporting Information [Line Items]        
Revenues 1,090us-gaap_Revenues
/ us-gaap_StatementBusinessSegmentsAxis
= ste_OperatingsegmentcorpandotherMember
435us-gaap_Revenues
/ us-gaap_StatementBusinessSegmentsAxis
= ste_OperatingsegmentcorpandotherMember
1,678us-gaap_Revenues
/ us-gaap_StatementBusinessSegmentsAxis
= ste_OperatingsegmentcorpandotherMember
1,697us-gaap_Revenues
/ us-gaap_StatementBusinessSegmentsAxis
= ste_OperatingsegmentcorpandotherMember
Operating Income (Loss) (1,407)us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= ste_OperatingsegmentcorpandotherMember
(1,494)us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= ste_OperatingsegmentcorpandotherMember
(7,308)us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= ste_OperatingsegmentcorpandotherMember
(6,065)us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= ste_OperatingsegmentcorpandotherMember
OperatingSegmentAll [Member]        
Segment Reporting Information [Line Items]        
Revenues 473,244us-gaap_Revenues
/ us-gaap_StatementBusinessSegmentsAxis
= ste_OperatingsegmentallMember
405,551us-gaap_Revenues
/ us-gaap_StatementBusinessSegmentsAxis
= ste_OperatingsegmentallMember
1,348,616us-gaap_Revenues
/ us-gaap_StatementBusinessSegmentsAxis
= ste_OperatingsegmentallMember
1,156,965us-gaap_Revenues
/ us-gaap_StatementBusinessSegmentsAxis
= ste_OperatingsegmentallMember
Operating Income (Loss) $ 61,346us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= ste_OperatingsegmentallMember
$ 55,890us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= ste_OperatingsegmentallMember
$ 158,937us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= ste_OperatingsegmentallMember
$ 147,202us-gaap_OperatingIncomeLoss
/ us-gaap_StatementBusinessSegmentsAxis
= ste_OperatingsegmentallMember