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Description of Business and Accounting Policies Description of Business and Accounting Policies (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, 2015
Dec. 31, 2014
D
Dec. 31, 2013
Dec. 31, 2012
Sep. 30, 2014
Jan. 24, 2013
Description of accounting policies [Line Items]                
Percent of Revenue from Foreign Subsidiaries       1.00%cbb_PercentageOfRevenueByForeignSubsidiaries        
Number of Operating Segments   4us-gaap_NumberOfOperatingSegments   3us-gaap_NumberOfOperatingSegments        
Investment owned in CyrusOne Inc., Balance, Shares       1.9cbb_InvestmentownedinEquityMethodInvesteeBalanceShares       1.9cbb_InvestmentownedinEquityMethodInvesteeBalanceShares
Investment owned in CyrusOne Inc., Percentage, Common Stock               8.60%cbb_InvestmentownedinEquityMethodInvesteePercentageCommonStock
Investment in CyrusOne LP, Balance, Partnership Units       26.6cbb_InvestmentownedinEquityMethodInvesteeBalancePartnershipUnits       42.6cbb_InvestmentownedinEquityMethodInvesteeBalancePartnershipUnits
Investment owned in CyrusOne LP, Percentage, Partnership Units               66.00%cbb_InvestmentownedinEquityMethodInvesteePercentagePartnershipUnits
Total ownership interests in CyrusOne, Percentage       44.00%cbb_TotalownershipinterestsinEquityMethodInvesteePercentage 68.00%cbb_TotalownershipinterestsinEquityMethodInvesteePercentage     69.00%cbb_TotalownershipinterestsinEquityMethodInvesteePercentage
Equity Method Investment Sold, Partnership Units 16.0cbb_EquityMethodInvestmentSoldPartnershipUnits              
Sale of Partnership Units, Price Per Unit $ 22.26cbb_SaleofPartnershipUnitsPricePerUnit              
Proceeds from sale of Wireless spectrum licenses $ 194.4us-gaap_ProceedsFromSaleOfIntangibleAssets     $ 194.4us-gaap_ProceedsFromSaleOfIntangibleAssets $ 0us-gaap_ProceedsFromSaleOfIntangibleAssets $ 0us-gaap_ProceedsFromSaleOfIntangibleAssets    
Indefinite-lived Intangible Assets, Period Increase (Decrease) 88.2us-gaap_IndefiniteLivedIntangibleAssetsPeriodIncreaseDecrease              
Prepaid Expense       3.2us-gaap_PrepaidExpenseCurrentAndNoncurrent     6.4us-gaap_PrepaidExpenseCurrentAndNoncurrent  
Deferred gain in wireless spectrum licenses       112.6us-gaap_DeferredGainOnSaleOfProperty 0us-gaap_DeferredGainOnSaleOfProperty      
Operating Leases, Rent Expense       14.0us-gaap_LeaseAndRentalExpense 13.4us-gaap_LeaseAndRentalExpense 19.3us-gaap_LeaseAndRentalExpense    
Liabilities and Other Assets transferred in Sale of Business, Affiliate and Productive Assets     25cbb_LiabilitiesandOtherAssetstransferredinSaleofBusinessAffiliateandProductiveAssets 25cbb_LiabilitiesandOtherAssetstransferredinSaleofBusinessAffiliateandProductiveAssets        
Trade Receivables Due From Customers, Range, Minimum       21cbb_TradeReceivablesDueFromCustomersRangeMinimum        
Trade Receivables Due from Customers, Range, Maximum       90cbb_TradeReceivablesDueFromCustomersRangeMaximum        
Number of customers, exceeds 10% of total accounts receivable       1cbb_Numberofcustomersexceeds10oftotalaccountsreceivable        
Accounts Receivable from one customer greater than 10%, percentage       26.00%cbb_AccountsReceivablefromonecustomergreaterthan10percentage 19.00%cbb_AccountsReceivablefromonecustomergreaterthan10percentage      
Revenue from one customer greater than 10%, percentage       14.00%cbb_Revenuefromonecustomergreaterthan10percentage        
Unbilled Receivables, Current       15.6us-gaap_UnbilledReceivablesCurrent 23.2us-gaap_UnbilledReceivablesCurrent      
Dividends received from CyrusOne       28.4us-gaap_ProceedsFromEquityMethodInvestmentDividendsOrDistributionsReturnOfCapital 21.3us-gaap_ProceedsFromEquityMethodInvestmentDividendsOrDistributionsReturnOfCapital 0us-gaap_ProceedsFromEquityMethodInvestmentDividendsOrDistributionsReturnOfCapital    
Payments to Acquire Equity Method Investments       5.5us-gaap_PaymentsToAcquireEquityMethodInvestments        
Cost Method Investments       2.9us-gaap_CostMethodInvestments 2.5us-gaap_CostMethodInvestments      
Customer Contract, Lower Range, in Years       1cbb_CustomerContractLowerRangeinYears        
Customer Contract, Upper Range, in Years       3cbb_CustomerContractUpperRangeinYears        
Advertising Expense       8.9us-gaap_AdvertisingExpense 12.2us-gaap_AdvertisingExpense 16.6us-gaap_AdvertisingExpense    
Regulatory Taxes Included in Revenue       17.9cbb_RegulatoryTaxesIncludedInRevenue 18.9cbb_RegulatoryTaxesIncludedInRevenue 22.2cbb_RegulatoryTaxesIncludedInRevenue    
Regulatory Taxes Included in Expense       $ 19.6cbb_RegulatoryTaxesIncludedInExpense $ 19.2cbb_RegulatoryTaxesIncludedInExpense $ 24.4cbb_RegulatoryTaxesIncludedInExpense    
Lower range, in years, of remaining service life of active employees       10cbb_Lowerrangeinyearsofremainingservicelifeofactiveemployees        
Upper range, in years, of remaining service life of active employees       14cbb_Upperrangeinyearsofremainingservicelifeofactiveemployees        
Other Postretirement Benefit Plans, Defined Benefit [Member]                
Description of accounting policies [Line Items]                
Average life expectancy of retirees, in years       16cbb_Averagelifeexpectancyofretireesinyears
/ us-gaap_DefinedBenefitPlansDisclosuresDefinedBenefitPlansAxis
= us-gaap_OtherPostretirementBenefitPlansDefinedBenefitMember