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Intangible Assets, net (Details) (USD $)
In Millions, unless otherwise specified
3 Months Ended
Mar. 31, 2015
Mar. 31, 2014
Dec. 31, 2014
Intangible assets subject to amortization:      
Intangible assets subject to amortization, Gross Carrying Amount $ 748.1us-gaap_FiniteLivedIntangibleAssetsGross   $ 753.8us-gaap_FiniteLivedIntangibleAssetsGross
Intangible assets subject to amortization, Accumulated Amortization (302.4)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization   (289.9)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
Intangible assets      
Intangible assets, Gross Carrying Amount 1,522.6us-gaap_IntangibleAssetsGrossExcludingGoodwill   1,531.5us-gaap_IntangibleAssetsGrossExcludingGoodwill
Amortization expense for intangible assets 14.3us-gaap_AmortizationOfIntangibleAssets 14.1us-gaap_AmortizationOfIntangibleAssets  
Changes in intangible assets due to foreign currency translation losses 7.1rs_IntangibleAssetsExcludingGoodwillForeignCurrencyTranslationAdjustment    
Summary of estimated aggregate amortization expense for the remaining nine months of 2015 and each of the next five years      
2015 42.5us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseRemainderOfFiscalYear    
2016 55.0us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseNextTwelveMonths    
2017 50.5us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearTwo    
2018 44.4us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearThree    
2019 43.7us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearFour    
2020 43.7us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearFive    
Trade names      
Intangible assets not subject to amortization:      
Intangible assets not subject to amortization, Gross Carrying Amount 774.5us-gaap_IndefiniteLivedIntangibleAssetsExcludingGoodwill
/ us-gaap_IndefiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_TradeNamesMember
  777.7us-gaap_IndefiniteLivedIntangibleAssetsExcludingGoodwill
/ us-gaap_IndefiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_TradeNamesMember
Covenants not to compete      
Intangible assets subject to amortization:      
Intangible assets subject to amortization, Gross Carrying Amount 2.3us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_NoncompeteAgreementsMember
  2.3us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_NoncompeteAgreementsMember
Intangible assets subject to amortization, Accumulated Amortization (1.7)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_NoncompeteAgreementsMember
  (1.7)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_NoncompeteAgreementsMember
Weighted average amortizable life in years 4 years 3 months 18 days    
Loan fees      
Intangible assets subject to amortization:      
Intangible assets subject to amortization, Gross Carrying Amount 41.5us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= rs_LoanProcessingFeesMember
  41.5us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= rs_LoanProcessingFeesMember
Intangible assets subject to amortization, Accumulated Amortization (28.2)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= rs_LoanProcessingFeesMember
  (27.3)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= rs_LoanProcessingFeesMember
Weighted average amortizable life in years 3 years 9 months 18 days    
Customer lists/relationships      
Intangible assets subject to amortization:      
Intangible assets subject to amortization, Gross Carrying Amount 689.1us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_CustomerListsMember
  694.7us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_CustomerListsMember
Intangible assets subject to amortization, Accumulated Amortization (260.4)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_CustomerListsMember
  (249.3)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_CustomerListsMember
Weighted average amortizable life in years 14 years 2 months 12 days    
Software - internal use      
Intangible assets subject to amortization:      
Intangible assets subject to amortization, Gross Carrying Amount 8.1us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_ComputerSoftwareIntangibleAssetMember
  8.1us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_ComputerSoftwareIntangibleAssetMember
Intangible assets subject to amortization, Accumulated Amortization (7.3)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_ComputerSoftwareIntangibleAssetMember
  (7.1)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_ComputerSoftwareIntangibleAssetMember
Weighted average amortizable life in years 10 years    
Other      
Intangible assets subject to amortization:      
Intangible assets subject to amortization, Gross Carrying Amount 7.1us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_OtherIntangibleAssetsMember
  7.2us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_OtherIntangibleAssetsMember
Intangible assets subject to amortization, Accumulated Amortization $ (4.8)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_OtherIntangibleAssetsMember
  $ (4.5)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= us-gaap_OtherIntangibleAssetsMember
Weighted average amortizable life in years 5 years 1 month 6 days