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Shareowners' Deficit (Details) (USD $)
In Millions, except Share data, unless otherwise specified
3 Months Ended 12 Months Ended
Mar. 31, 2013
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Mar. 31, 2003
Class of Stock [Line Items]          
Common Stock, Par or Stated Value Per Share   $ 0.01us-gaap_CommonStockParOrStatedValuePerShare $ 0.01us-gaap_CommonStockParOrStatedValuePerShare    
Common Stock, Shares, Outstanding   209,296,068us-gaap_CommonStockSharesOutstanding 208,165,275us-gaap_CommonStockSharesOutstanding    
Stock Repurchase Program, Authorized Amount   $ 150us-gaap_StockRepurchaseProgramAuthorizedAmount1      
Repurchase and retirement of shares   0us-gaap_StockRepurchasedAndRetiredDuringPeriodShares 0us-gaap_StockRepurchasedAndRetiredDuringPeriodShares (100,000)us-gaap_StockRepurchasedAndRetiredDuringPeriodShares  
Treasury Stock, Shares, Acquired       0us-gaap_TreasuryStockSharesAcquired  
Stock Repurchase Program, Remaining Authorized Repurchase Amount   129.2us-gaap_StockRepurchaseProgramRemainingAuthorizedRepurchaseAmount1      
Treasury Stock, Shares   300,000us-gaap_TreasuryStockShares 500,000us-gaap_TreasuryStockShares    
Treasury Stock, Value   1.1us-gaap_TreasuryStockCarryingBasis 2.0us-gaap_TreasuryStockCarryingBasis    
Preferred Stock, Shares Authorized   2,357,299us-gaap_PreferredStockSharesAuthorized 2,357,299us-gaap_PreferredStockSharesAuthorized    
Preferred Stock, Shares Issued   155,250us-gaap_PreferredStockSharesIssued 155,250us-gaap_PreferredStockSharesIssued    
Preferred Stock, Depositary Shares   3,105,000cbb_PreferredStockDepositaryShares 3,105,000cbb_PreferredStockDepositaryShares    
Preferred Stock Converstion Rate   1.44cbb_PreferredStockConversionRate      
Preferred Stock, Dividends, Per Share, Cash Paid   $ 67.50us-gaap_PreferredStockDividendsPerShareCashPaid      
Preferred stock dividends per depositary share   $ 3.3752cbb_Preferredstockdividendsperdepositaryshare      
Preferred Stock, Liquidation Preference Per Share   $ 1,000us-gaap_PreferredStockLiquidationPreference $ 1,000us-gaap_PreferredStockLiquidationPreference    
Preferred Stock Liquidation Preference Per Depositary Share   $ 50cbb_PreferredStockLiquidationPreferencePerDepositaryShare $ 50cbb_PreferredStockLiquidationPreferencePerDepositaryShare    
Preferred Stock Dividends and Other Adjustments   10.4us-gaap_PreferredStockDividendsAndOtherAdjustments 10.4us-gaap_PreferredStockDividendsAndOtherAdjustments 10.4us-gaap_PreferredStockDividendsAndOtherAdjustments  
Class of Warrant or Right, Outstanding         17,500,000us-gaap_ClassOfWarrantOrRightOutstanding
Class of Warrant or Right, Exercise Price of Warrants or Rights $ 3.00us-gaap_ClassOfWarrantOrRightExercisePriceOfWarrantsOrRights1        
Warrants exercised 14,300,000cbb_WarrantsExercised     3,200,000cbb_WarrantsExercised  
Stock Issued During Period, Shares, Conversion of Convertible Securities 4,400,000us-gaap_StockIssuedDuringPeriodSharesConversionOfConvertibleSecurities     1,500,000us-gaap_StockIssuedDuringPeriodSharesConversionOfConvertibleSecurities  
Proceeds from Warrant Exercises $ 5.1us-gaap_ProceedsFromWarrantExercises     $ 0.1us-gaap_ProceedsFromWarrantExercises  
Warrants exercised, cash basis 1,700,000cbb_WarrantsExercisedCashBasis        
Preferred Voting Stock [Member]          
Class of Stock [Line Items]          
Preferred Stock, Shares Authorized   1,357,299us-gaap_PreferredStockSharesAuthorized
/ us-gaap_StatementClassOfStockAxis
= cbb_PreferredVotingStockMember
     
Nonvoting Preferred Stock [Member]          
Class of Stock [Line Items]          
Preferred Stock, Shares Authorized   1,000,000us-gaap_PreferredStockSharesAuthorized
/ us-gaap_StatementClassOfStockAxis
= cbb_NonvotingPreferredStockMember
     
Common Stock [Member]          
Class of Stock [Line Items]          
Repurchase and retirement of shares       0us-gaap_StockRepurchasedAndRetiredDuringPeriodShares
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_CommonStockMember
 
Stock Issued During Period, Shares, Conversion of Convertible Securities     4,400,000us-gaap_StockIssuedDuringPeriodSharesConversionOfConvertibleSecurities
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_CommonStockMember
1,500,000us-gaap_StockIssuedDuringPeriodSharesConversionOfConvertibleSecurities
/ us-gaap_StatementEquityComponentsAxis
= us-gaap_CommonStockMember