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Investment in CyrusOne (Details) (USD $)
In Millions, except Per Share data, unless otherwise specified
3 Months Ended
Jun. 30, 2015
Mar. 31, 2015
Jun. 30, 2014
Mar. 31, 2014
Apr. 07, 2015
Dec. 31, 2014
Schedule of Equity Method Investments [Line Items]            
Total ownership interests in CyrusOne, Percentage   43.00%cbb_TotalownershipinterestsinEquityMethodInvesteePercentage     22.00%cbb_TotalownershipinterestsinEquityMethodInvesteePercentage  
Investment owned in CyrusOne Inc., Balance, Shares   1.9cbb_InvestmentownedinEquityMethodInvesteeBalanceShares     1.9cbb_InvestmentownedinEquityMethodInvesteeBalanceShares  
Investment owned in CyrusOne LP, Balance, Partnership Units   26.6cbb_InvestmentownedinEquityMethodInvesteeBalancePartnershipUnits     12.3cbb_InvestmentownedinEquityMethodInvesteeBalancePartnershipUnits  
Equity Method Investments, Fair Value Disclosure   $ 886.7us-gaap_EquityMethodInvestmentsFairValueDisclosure       $ 785.0us-gaap_EquityMethodInvestmentsFairValueDisclosure
Loss (income) from CyrusOne equity method investment   3.1us-gaap_IncomeLossFromEquityMethodInvestments   (0.5)us-gaap_IncomeLossFromEquityMethodInvestments    
Equity Method Investment Sold, Partnership Units 14.3cbb_EquityMethodInvestmentSoldPartnershipUnits          
Sale of Partnership Units, Price Per Unit $ 29.88cbb_SaleofPartnershipUnitsPricePerUnit          
Proceeds from Sale of Equity Method Investments 426.0us-gaap_ProceedsFromSaleOfEquityMethodInvestments          
Equity Method Investment, Realized Gain (Loss) on Disposal     295.2us-gaap_EquityMethodInvestmentRealizedGainLossOnDisposal      
Dividends received from CyrusOne   6.0us-gaap_ProceedsFromEquityMethodInvestmentDividendsOrDistributionsReturnOfCapital   7.1us-gaap_ProceedsFromEquityMethodInvestmentDividendsOrDistributionsReturnOfCapital    
Equity Method Investment, Summarized Financial Information, Income Statement [Abstract]            
Operating income (loss)   37.1us-gaap_OperatingIncomeLoss   50.4us-gaap_OperatingIncomeLoss    
CyrusOne [Member]            
Schedule of Equity Method Investments [Line Items]            
Dividends Payable, Amount Per Share   $ 0.315us-gaap_DividendsPayableAmountPerShare
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= cbb_CyrusoneMember
       
Equity Method Investment, Summarized Financial Information, Income Statement [Abstract]            
Revenue   85.7us-gaap_EquityMethodInvestmentSummarizedFinancialInformationRevenue
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= cbb_CyrusoneMember
  77.5us-gaap_EquityMethodInvestmentSummarizedFinancialInformationRevenue
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= cbb_CyrusoneMember
   
Operating income (loss)   1.6us-gaap_OperatingIncomeLoss
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= cbb_CyrusoneMember
  11.8us-gaap_OperatingIncomeLoss
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= cbb_CyrusoneMember
   
Net income (loss)   $ (7.2)us-gaap_EquityMethodInvestmentSummarizedFinancialInformationNetIncomeLoss
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= cbb_CyrusoneMember
  $ 0.7us-gaap_EquityMethodInvestmentSummarizedFinancialInformationNetIncomeLoss
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= cbb_CyrusoneMember