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Debt Debt - Extinguishment (Details) (USD $)
In Millions, unless otherwise specified
3 Months Ended
Jun. 30, 2015
Mar. 31, 2015
Dec. 31, 2014
Extinguishment of Debt [Line Items]      
Debt Instrument, Redemption Price, Percentage 102.188%us-gaap_DebtInstrumentRedemptionPricePercentage    
Loss (gain) on extinguishment of debt $ 10us-gaap_GainsLossesOnExtinguishmentOfDebt    
Senior Subordinated Notes due 2018 [Member]      
Extinguishment of Debt [Line Items]      
Debt Instrument, Face Amount $ 300.0us-gaap_DebtInstrumentFaceAmount
/ us-gaap_DebtInstrumentAxis
= cbb_SeniorSubordinatedNotesDue2018Member
$ 300.0us-gaap_DebtInstrumentFaceAmount
/ us-gaap_DebtInstrumentAxis
= cbb_SeniorSubordinatedNotesDue2018Member
$ 300.0us-gaap_DebtInstrumentFaceAmount
/ us-gaap_DebtInstrumentAxis
= cbb_SeniorSubordinatedNotesDue2018Member