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Share-Based Compensation Plans - Compensation Expense (Details) (USD $)
In Millions, unless otherwise specified
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Compensation Expense $ 17.3us-gaap_AllocatedShareBasedCompensationExpense $ 9.9us-gaap_AllocatedShareBasedCompensationExpense $ 8.0us-gaap_AllocatedShareBasedCompensationExpense
Income tax benefit (5.6)us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitFromCompensationExpense (3.4)us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitFromCompensationExpense (2.7)us-gaap_EmployeeServiceShareBasedCompensationTaxBenefitFromCompensationExpense
Share-based payment expense, net of tax 11.7us-gaap_AllocatedShareBasedCompensationExpenseNetOfTax 6.5us-gaap_AllocatedShareBasedCompensationExpenseNetOfTax 5.3us-gaap_AllocatedShareBasedCompensationExpenseNetOfTax
Fair value of shares vested 4.5us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedInPeriodFairValue1 6.1us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedInPeriodFairValue1 5.0us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedInPeriodFairValue1
Performance Shares PSU [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Compensation Expense 6.8us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_AwardTypeAxis
= us-gaap_PerformanceSharesMember
4.0us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_AwardTypeAxis
= us-gaap_PerformanceSharesMember
0us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_AwardTypeAxis
= us-gaap_PerformanceSharesMember
Unrecognized expenses for nonvested awards 5.6us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized
/ us-gaap_AwardTypeAxis
= us-gaap_PerformanceSharesMember
   
Weighted average number of years 1 year 9 months 18 days    
Market Share Units MSU [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Compensation Expense 1.6us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_AwardTypeAxis
= bco_MarketShareUnitsMember
1.8us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_AwardTypeAxis
= bco_MarketShareUnitsMember
0us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_AwardTypeAxis
= bco_MarketShareUnitsMember
Unrecognized expenses for nonvested awards 0.7us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized
/ us-gaap_AwardTypeAxis
= bco_MarketShareUnitsMember
   
Weighted average number of years 1 year 8 months 12 days    
Restricted Stock Units [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Compensation Expense 6.0us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockMember
3.1us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockMember
5.4us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockMember
Unrecognized expenses for nonvested awards 3.6us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockMember
   
Weighted average number of years 1 year 6 months    
Fair value of shares vested 4.1us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedInPeriodFairValue1
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockMember
4.1us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedInPeriodFairValue1
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockMember
4.4us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedInPeriodFairValue1
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockMember
Deferred Stock Units [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Compensation Expense 0.6us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_AwardTypeAxis
= bco_DeferredStockUnitsMember
0.5us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_AwardTypeAxis
= bco_DeferredStockUnitsMember
0.5us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_AwardTypeAxis
= bco_DeferredStockUnitsMember
Unrecognized expenses for nonvested awards 0.1us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized
/ us-gaap_AwardTypeAxis
= bco_DeferredStockUnitsMember
   
Weighted average number of years 3 months 18 days    
Fair value of shares vested 0.3us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedInPeriodFairValue1
/ us-gaap_AwardTypeAxis
= bco_DeferredStockUnitsMember
0us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedInPeriodFairValue1
/ us-gaap_AwardTypeAxis
= bco_DeferredStockUnitsMember
0us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedInPeriodFairValue1
/ us-gaap_AwardTypeAxis
= bco_DeferredStockUnitsMember
Stock Options [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Compensation Expense 2.3us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
0.5us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
2.1us-gaap_AllocatedShareBasedCompensationExpense
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
Unrecognized expenses for nonvested awards 0.1us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
   
Weighted average number of years 7 months 6 days    
Fair value of shares vested $ 0.1us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedInPeriodFairValue1
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
$ 2.0us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedInPeriodFairValue1
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
$ 0.6us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedInPeriodFairValue1
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember