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Investment in CyrusOne - Schedule of Related Party Transactions (Details) (USD $)
In Millions, except Per Share data, unless otherwise specified
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Operating costs and expenses:      
Transaction-related compensation to CyrusOne employees   $ 20.0cbb_TransactionrelatedcompensationtoemployeesofEquityMethodInvestee  
Proceeds from Equity Method Investment, Dividends or Distributions, Return of Capital 28.4us-gaap_ProceedsFromEquityMethodInvestmentDividendsOrDistributionsReturnOfCapital 21.3us-gaap_ProceedsFromEquityMethodInvestmentDividendsOrDistributionsReturnOfCapital 0us-gaap_ProceedsFromEquityMethodInvestmentDividendsOrDistributionsReturnOfCapital
Balance Sheet Related Disclosures [Abstract]      
Dividends receivable 6.0us-gaap_DividendsReceivable 7.1us-gaap_DividendsReceivable 0us-gaap_DividendsReceivable
Receivable from CyrusOne 7.7us-gaap_DueFromRelatedPartiesCurrent 9.2us-gaap_DueFromRelatedPartiesCurrent  
Payable to CyrusOne 0.4us-gaap_DueToRelatedPartiesCurrent 0.5us-gaap_DueToRelatedPartiesCurrent  
CyrusOne [Member]      
Revenue:      
Services provided to CyrusOne 1.7us-gaap_RevenueFromRelatedParties
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= cbb_CyrusoneMember
2.1us-gaap_RevenueFromRelatedParties
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= cbb_CyrusoneMember
 
Operating costs and expenses:      
Transaction-related compensation to CyrusOne employees 0cbb_TransactionrelatedcompensationtoemployeesofEquityMethodInvestee
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= cbb_CyrusoneMember
20.0cbb_TransactionrelatedcompensationtoemployeesofEquityMethodInvestee
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= cbb_CyrusoneMember
 
Charges for services provided by CyrusOne 9.1us-gaap_RelatedPartyTransactionExpensesFromTransactionsWithRelatedParty
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= cbb_CyrusoneMember
8.8us-gaap_RelatedPartyTransactionExpensesFromTransactionsWithRelatedParty
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= cbb_CyrusoneMember
 
Administrative services provided to CyrusOne (0.5)us-gaap_RecoveryOfDirectCosts
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= cbb_CyrusoneMember
(0.6)us-gaap_RecoveryOfDirectCosts
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= cbb_CyrusoneMember
 
Total operating costs and expenses 8.6us-gaap_RelatedPartyTransactionSellingGeneralAndAdministrativeExpensesFromTransactionsWithRelatedParty
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= cbb_CyrusoneMember
28.2us-gaap_RelatedPartyTransactionSellingGeneralAndAdministrativeExpensesFromTransactionsWithRelatedParty
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= cbb_CyrusoneMember
 
Income Tax Receivable from Related Party 1.7cbb_IncomeTaxReceivablefromRelatedParty
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= cbb_CyrusoneMember
1.5cbb_IncomeTaxReceivablefromRelatedParty
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= cbb_CyrusoneMember
 
Balance Sheet Related Disclosures [Abstract]      
Accounts receivable 1.7us-gaap_AccountsReceivableRelatedPartiesCurrent
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= cbb_CyrusoneMember
2.1us-gaap_AccountsReceivableRelatedPartiesCurrent
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= cbb_CyrusoneMember
 
Dividends receivable   7.1us-gaap_DividendsReceivable
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= cbb_CyrusoneMember
 
Receivable from CyrusOne 7.7us-gaap_DueFromRelatedPartiesCurrent
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= cbb_CyrusoneMember
9.2us-gaap_DueFromRelatedPartiesCurrent
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= cbb_CyrusoneMember
 
Accounts payable 0.4us-gaap_AccountsPayableRelatedPartiesCurrent
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= cbb_CyrusoneMember
0.5us-gaap_AccountsPayableRelatedPartiesCurrent
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= cbb_CyrusoneMember
 
Payable to CyrusOne $ 0.4us-gaap_DueToRelatedPartiesCurrent
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= cbb_CyrusoneMember
$ 0.5us-gaap_DueToRelatedPartiesCurrent
/ us-gaap_RelatedPartyTransactionsByRelatedPartyAxis
= cbb_CyrusoneMember
 
CyrusOne [Member]      
Operating costs and expenses:      
Dividends Payable, Amount Per Share $ 0.21us-gaap_DividendsPayableAmountPerShare
/ us-gaap_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis
= cbb_CyrusoneMember