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Investment in CyrusOne (Details) (USD $)
In Millions, except Per Share data, unless otherwise specified
3 Months Ended 12 Months Ended
Jun. 30, 2014
Mar. 31, 2013
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Jan. 24, 2013
Dec. 31, 2011
Assets Deconsolidated [Abstract]              
Cash     $ 57.9us-gaap_CashAndCashEquivalentsAtCarryingValue $ 4.6us-gaap_CashAndCashEquivalentsAtCarryingValue $ 23.6us-gaap_CashAndCashEquivalentsAtCarryingValue   $ 73.7us-gaap_CashAndCashEquivalentsAtCarryingValue
Receivables     159.8us-gaap_AccountsReceivableNetCurrent 145.6us-gaap_AccountsReceivableNetCurrent      
Other current assets     2.0us-gaap_OtherAssetsCurrent 1.6us-gaap_OtherAssetsCurrent      
Property, plant and equipment     859.5us-gaap_PropertyPlantAndEquipmentNet 902.8us-gaap_PropertyPlantAndEquipmentNet      
Other noncurrent assets     33.9us-gaap_OtherAssetsNoncurrent 36.6us-gaap_OtherAssetsNoncurrent      
Total assets     1,819.7us-gaap_Assets 2,107.3us-gaap_Assets      
Liabilities Deconsolidated [Abstract]              
Current portion of long-term debt     13.2us-gaap_LongTermDebtAndCapitalLeaseObligationsCurrent 12.6us-gaap_LongTermDebtAndCapitalLeaseObligationsCurrent      
Accounts payable     135.6us-gaap_AccountsPayableCurrent 89.4us-gaap_AccountsPayableCurrent      
Unearned revenue and customer deposits     31.7us-gaap_DeferredRevenueCurrent 32.5us-gaap_DeferredRevenueCurrent      
Other current liabilities     46.3us-gaap_OtherLiabilitiesCurrent 36.8us-gaap_OtherLiabilitiesCurrent      
Long-term debt     1,771.0us-gaap_LongTermDebtAndCapitalLeaseObligations 2,252.6us-gaap_LongTermDebtAndCapitalLeaseObligations      
Other noncurrent liabilities     47.3us-gaap_OtherLiabilitiesNoncurrent 74.4us-gaap_OtherLiabilitiesNoncurrent      
Total liabilities     2,468.2us-gaap_Liabilities 2,784.0us-gaap_Liabilities      
Equity Method Investment, Financial Statement, Reported Amounts [Abstract]              
Net assets   509.7cbb_InvestmentinEquityMethodInvesteeresultingfromdeconsolidation 0cbb_InvestmentinEquityMethodInvesteeresultingfromdeconsolidation 509.7cbb_InvestmentinEquityMethodInvesteeresultingfromdeconsolidation 0cbb_InvestmentinEquityMethodInvesteeresultingfromdeconsolidation    
Equity Method Investment Sold, Partnership Units 16.0cbb_EquityMethodInvestmentSoldPartnershipUnits            
Sale of Partnership Units, Price Per Unit $ 22.26cbb_SaleofPartnershipUnitsPricePerUnit            
Proceeds from sale of CyrusOne equity method investment 355.9us-gaap_ProceedsFromSaleOfEquityMethodInvestments   355.9us-gaap_ProceedsFromSaleOfEquityMethodInvestments 0us-gaap_ProceedsFromSaleOfEquityMethodInvestments 0us-gaap_ProceedsFromSaleOfEquityMethodInvestments    
Gain on sale of CyrusOne equity method investment 192.8us-gaap_EquityMethodInvestmentRealizedGainLossOnDisposal   192.8us-gaap_EquityMethodInvestmentRealizedGainLossOnDisposal 0us-gaap_EquityMethodInvestmentRealizedGainLossOnDisposal 0us-gaap_EquityMethodInvestmentRealizedGainLossOnDisposal    
Total ownership interests in CyrusOne, Percentage     44.00%cbb_TotalownershipinterestsinEquityMethodInvesteePercentage 68.00%cbb_TotalownershipinterestsinEquityMethodInvesteePercentage   69.00%cbb_TotalownershipinterestsinEquityMethodInvesteePercentage  
Investment owned in CyrusOne Inc., Balance, Shares     1.9cbb_InvestmentownedinEquityMethodInvesteeBalanceShares     1.9cbb_InvestmentownedinEquityMethodInvesteeBalanceShares  
Investment in CyrusOne LP, Balance, Partnership Units     26.6cbb_InvestmentownedinEquityMethodInvesteeBalancePartnershipUnits     42.6cbb_InvestmentownedinEquityMethodInvesteeBalancePartnershipUnits  
Loss from CyrusOne     7.0us-gaap_IncomeLossFromEquityMethodInvestments 10.7us-gaap_IncomeLossFromEquityMethodInvestments 0us-gaap_IncomeLossFromEquityMethodInvestments    
Equity Method Investments, Fair Value Disclosure     785.0us-gaap_EquityMethodInvestmentsFairValueDisclosure 993.2us-gaap_EquityMethodInvestmentsFairValueDisclosure      
CyrusOne [Member]              
Assets Deconsolidated [Abstract]              
Cash           12.2us-gaap_CashAndCashEquivalentsAtCarryingValue
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= cbb_CyrusoneMember
 
Receivables           41.5us-gaap_AccountsReceivableNetCurrent
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= cbb_CyrusoneMember
 
Other current assets           13.4us-gaap_OtherAssetsCurrent
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= cbb_CyrusoneMember
 
Property, plant and equipment           736.2us-gaap_PropertyPlantAndEquipmentNet
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= cbb_CyrusoneMember
 
Goodwill and intangibles           377.7us-gaap_IntangibleAssetsNetIncludingGoodwill
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= cbb_CyrusoneMember
 
Other noncurrent assets           44.0us-gaap_OtherAssetsNoncurrent
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= cbb_CyrusoneMember
 
Total assets           1,225.0us-gaap_Assets
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= cbb_CyrusoneMember
 
Liabilities Deconsolidated [Abstract]              
Current portion of long-term debt           6.3us-gaap_LongTermDebtAndCapitalLeaseObligationsCurrent
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= cbb_CyrusoneMember
 
Accounts payable           29.4us-gaap_AccountsPayableCurrent
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= cbb_CyrusoneMember
 
Unearned revenue and customer deposits           24.1us-gaap_DeferredRevenueCurrent
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= cbb_CyrusoneMember
 
Other current liabilities           12.9us-gaap_OtherLiabilitiesCurrent
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= cbb_CyrusoneMember
 
Long-term debt           550.3us-gaap_LongTermDebtAndCapitalLeaseObligations
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= cbb_CyrusoneMember
 
Other noncurrent liabilities           92.3us-gaap_OtherLiabilitiesNoncurrent
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= cbb_CyrusoneMember
 
Total liabilities           715.3us-gaap_Liabilities
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= cbb_CyrusoneMember
 
Equity Method Investment, Summarized Financial Information, Income Statement [Abstract]              
Revenue     330.9us-gaap_EquityMethodInvestmentSummarizedFinancialInformationRevenue
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= cbb_CyrusoneMember
248.4us-gaap_EquityMethodInvestmentSummarizedFinancialInformationRevenue
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= cbb_CyrusoneMember
     
Operating income     40.0cbb_EquityMethodInvestmentSummarizedFinancialInformationOperatingIncomeLoss
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= cbb_CyrusoneMember
28.9cbb_EquityMethodInvestmentSummarizedFinancialInformationOperatingIncomeLoss
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= cbb_CyrusoneMember
     
Net loss     (14.5)us-gaap_EquityMethodInvestmentSummarizedFinancialInformationNetIncomeLoss
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= cbb_CyrusoneMember
(15.6)us-gaap_EquityMethodInvestmentSummarizedFinancialInformationNetIncomeLoss
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= cbb_CyrusoneMember
     
Equity Method Investment, Summarized Financial Information, Assets [Abstract]              
Net investment in real estate     1,051.4us-gaap_RealEstateInvestmentPropertyNet
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= cbb_CyrusoneMember
883.8us-gaap_RealEstateInvestmentPropertyNet
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= cbb_CyrusoneMember
     
Total assets     1,586.5us-gaap_EquityMethodInvestmentSummarizedFinancialInformationAssets
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= cbb_CyrusoneMember
1,506.8us-gaap_EquityMethodInvestmentSummarizedFinancialInformationAssets
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= cbb_CyrusoneMember
     
Equity Method Investment, Summarized Financial Information, Liabilities [Abstract]              
Total liabilities     $ 869.5us-gaap_EquityMethodInvestmentSummarizedFinancialInformationLiabilities
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= cbb_CyrusoneMember
$ 729.2us-gaap_EquityMethodInvestmentSummarizedFinancialInformationLiabilities
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= cbb_CyrusoneMember