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Stock-Based Compensation - Summary of Incentive Equity Awards (Detail) (USD $)
 3 Months Ended 6 Months Ended
Dec. 31, 2014
Dec. 31, 2014
Time-Based Restricted Stock Units [Member]    
Number of Options    
Number of Options, Beginning balance (in shares) 1,869,426us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber
/ us-gaap_PlanNameAxis
= br_TimeBasedRestrictedStockMember		 1,866,408us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber
/ us-gaap_PlanNameAxis
= br_TimeBasedRestrictedStockMember
Number of Options, Granted (in shares) 666,209us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodGross
/ us-gaap_PlanNameAxis
= br_TimeBasedRestrictedStockMember		 694,429us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodGross
/ us-gaap_PlanNameAxis
= br_TimeBasedRestrictedStockMember
Number of Options, Vesting of restricted stock units (in shares) (9,044)br_ShareBasedCompensationArrangementByShareBasedPaymentAwardsOptionsVestedAndExpectedToVestExercisableNumber
/ us-gaap_PlanNameAxis
= br_TimeBasedRestrictedStockMember		 [1] (10,024)br_ShareBasedCompensationArrangementByShareBasedPaymentAwardsOptionsVestedAndExpectedToVestExercisableNumber
/ us-gaap_PlanNameAxis
= br_TimeBasedRestrictedStockMember		 [2]
Number of Options, Expired/forfeited (in shares) (19,922)us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsForfeituresAndExpirationsInPeriod
/ us-gaap_PlanNameAxis
= br_TimeBasedRestrictedStockMember		 (44,144)us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsForfeituresAndExpirationsInPeriod
/ us-gaap_PlanNameAxis
= br_TimeBasedRestrictedStockMember
Number of Options, Ending balance (in shares) 2,506,669us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber
/ us-gaap_PlanNameAxis
= br_TimeBasedRestrictedStockMember		 [3] 2,506,669us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber
/ us-gaap_PlanNameAxis
= br_TimeBasedRestrictedStockMember		 [3]
Weighted-Average Grant Date Fair Value    
Weighted-Average Grant Date Fair Value, Beginning balance (in dollars per share) $ 25.87us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValue
/ us-gaap_PlanNameAxis
= br_TimeBasedRestrictedStockMember		 $ 25.69us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValue
/ us-gaap_PlanNameAxis
= br_TimeBasedRestrictedStockMember
Weighted-Average Grant Date Fair Value, Granted (in dollars per share) $ 38.97us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue
/ us-gaap_PlanNameAxis
= br_TimeBasedRestrictedStockMember		 $ 38.94us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue
/ us-gaap_PlanNameAxis
= br_TimeBasedRestrictedStockMember
Weighted-Average Grant Date Fair Value, Vesting of restricted stock units (in dollars per share) $ 25.59us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriodWeightedAverageGrantDateFairValue
/ us-gaap_PlanNameAxis
= br_TimeBasedRestrictedStockMember		 [1] $ 25.55us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriodWeightedAverageGrantDateFairValue
/ us-gaap_PlanNameAxis
= br_TimeBasedRestrictedStockMember		 [2]
Weighted-Average Grant Date Fair Value, Expired/forfeited (in dollars per share) $ 28.83us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsForfeituresWeightedAverageGrantDateFairValue
/ us-gaap_PlanNameAxis
= br_TimeBasedRestrictedStockMember		 $ 27.66us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsForfeituresWeightedAverageGrantDateFairValue
/ us-gaap_PlanNameAxis
= br_TimeBasedRestrictedStockMember
Weighted-Average Grant Date Fair Value, Ending balance (in dollars per share) $ 29.33us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValue
/ us-gaap_PlanNameAxis
= br_TimeBasedRestrictedStockMember		 [3] $ 29.33us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValue
/ us-gaap_PlanNameAxis
= br_TimeBasedRestrictedStockMember		 [3]
Performance-Based Restricted Stock Units [Member]    
Number of Options    
Number of Options, Beginning balance (in shares) 694,527us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber
/ us-gaap_PlanNameAxis
= br_PerformanceBasedRestrictedStockMember		 662,282us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber
/ us-gaap_PlanNameAxis
= br_PerformanceBasedRestrictedStockMember
Number of Options, Granted (in shares) 177,546us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodGross
/ us-gaap_PlanNameAxis
= br_PerformanceBasedRestrictedStockMember		 215,840us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodGross
/ us-gaap_PlanNameAxis
= br_PerformanceBasedRestrictedStockMember
Number of Options, Vesting of restricted stock units (in shares) 0br_ShareBasedCompensationArrangementByShareBasedPaymentAwardsOptionsVestedAndExpectedToVestExercisableNumber
/ us-gaap_PlanNameAxis
= br_PerformanceBasedRestrictedStockMember		 [1] (5,210)br_ShareBasedCompensationArrangementByShareBasedPaymentAwardsOptionsVestedAndExpectedToVestExercisableNumber
/ us-gaap_PlanNameAxis
= br_PerformanceBasedRestrictedStockMember		 [2]
Number of Options, Expired/forfeited (in shares) (4,059)us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsForfeituresAndExpirationsInPeriod
/ us-gaap_PlanNameAxis
= br_PerformanceBasedRestrictedStockMember		 (4,898)us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsForfeituresAndExpirationsInPeriod
/ us-gaap_PlanNameAxis
= br_PerformanceBasedRestrictedStockMember
Number of Options, Ending balance (in shares) 868,014us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber
/ us-gaap_PlanNameAxis
= br_PerformanceBasedRestrictedStockMember		 [3] 868,014us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber
/ us-gaap_PlanNameAxis
= br_PerformanceBasedRestrictedStockMember		 [3]
Weighted-Average Grant Date Fair Value    
Weighted-Average Grant Date Fair Value, Beginning balance (in dollars per share) $ 26.53us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValue
/ us-gaap_PlanNameAxis
= br_PerformanceBasedRestrictedStockMember		 $ 26.30us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValue
/ us-gaap_PlanNameAxis
= br_PerformanceBasedRestrictedStockMember
Weighted-Average Grant Date Fair Value, Granted (in dollars per share) $ 38.35us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue
/ us-gaap_PlanNameAxis
= br_PerformanceBasedRestrictedStockMember		 $ 36.91us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue
/ us-gaap_PlanNameAxis
= br_PerformanceBasedRestrictedStockMember
Weighted-Average Grant Date Fair Value, Vesting of restricted stock units (in dollars per share) $ 0.00us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriodWeightedAverageGrantDateFairValue
/ us-gaap_PlanNameAxis
= br_PerformanceBasedRestrictedStockMember		 [1] $ 23.30us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriodWeightedAverageGrantDateFairValue
/ us-gaap_PlanNameAxis
= br_PerformanceBasedRestrictedStockMember		 [2]
Weighted-Average Grant Date Fair Value, Expired/forfeited (in dollars per share) $ 36.40us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsForfeituresWeightedAverageGrantDateFairValue
/ us-gaap_PlanNameAxis
= br_PerformanceBasedRestrictedStockMember		 $ 34.84us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsForfeituresWeightedAverageGrantDateFairValue
/ us-gaap_PlanNameAxis
= br_PerformanceBasedRestrictedStockMember
Weighted-Average Grant Date Fair Value, Ending balance (in dollars per share) $ 28.90us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValue
/ us-gaap_PlanNameAxis
= br_PerformanceBasedRestrictedStockMember		 [3] $ 28.90us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValue
/ us-gaap_PlanNameAxis
= br_PerformanceBasedRestrictedStockMember		 [3]
Stock Options [Member]    
Number of Options    
Number of Options, Beginning balance (in shares) 9,056,780us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember		 [4] 9,847,291us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
Number of Options, Granted (in shares) 110,370us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodGross
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember		 [4] 136,630us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodGross
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
Number of Options, Exercise of stock options (in shares) (706,764)us-gaap_StockIssuedDuringPeriodSharesStockOptionsExercised
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember		 [4],[5] (1,517,837)us-gaap_StockIssuedDuringPeriodSharesStockOptionsExercised
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember		 [6]
Number of Options, Expired/forfeited (in shares) (50,228)us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsForfeituresAndExpirationsInPeriod
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember		 [4] (55,926)us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsForfeituresAndExpirationsInPeriod
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
Number of Options, Ending balance (in shares) 8,410,158us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember		 [3],[4] 8,410,158us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember		 [3],[4]
Weighted-Average Exercise Price    
Weighted-Average Exercise Price, Beginning balance (in dollars per share) $ 24.21us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember		 $ 23.73us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
Weighted-Average Exercise Price, Granted (in dollars per share) $ 45.09us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageExercisePrice
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember		 $ 44.24us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageExercisePrice
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
Weighted-Average Exercise Price, Exercise of stock options (in dollars per share) $ 20.15us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsExercisesInPeriodWeightedAverageExercisePrice
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember		 [5] $ 19.49us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsExercisesInPeriodWeightedAverageExercisePrice
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember		 [6]
Weighted-Average Exercise Price, Expired/forfeited (in dollars per share) $ 24.09us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsForfeituresAndExpirationsInPeriodWeightedAverageExercisePrice
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember		 $ 23.43us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsForfeituresAndExpirationsInPeriodWeightedAverageExercisePrice
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember
Weighted-Average Exercise Price, Ending balance (in dollars per share) $ 24.83us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember		 [3] $ 24.83us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice
/ us-gaap_AwardTypeAxis
= us-gaap_EmployeeStockOptionMember		 [3]
[1] Time-based and performance-based restricted stock units that vested during the period of October 1, 2014 through December 31, 2014 had a fair value of $0.2 million.
[2] Time-based and performance-based restricted stock units that vested during the period of July 1, 2014 through December 31, 2014 had a fair value of
[3] As of December 31, 2014, the Company's outstanding "in the money" stock options using the December 31, 2014 closing stock price of $46.18 (approximately 5.3 million shares) had an aggregate intrinsic value of $130.3 million. As of December 31, 2014, time-based restricted stock units and performance-based restricted stock units expected to vest using the December 31, 2014 share price of $46.18 (approximately 2.3 million and 0.8 million shares, respectively) had an aggregate intrinsic value of $106.1 million and $39.0 million, respectively.
[4] Stock options outstanding as of December 31, 2014 have a weighted-average remaining contractual life of 5.8 years and 5.3 million stock options are exercisable.
[5] Stock options exercised during the period of October 1, 2014 through December 31, 2014 had an aggregate intrinsic value of $17.6 million.
[6] Stock options exercised during the period of July 1, 2014 through December 31, 2014 had an aggregate intrinsic value of $36.0 million.