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SEGMENT REPORTING (Details 5) (USD $) In Millions, unless otherwise specified	3 Months Ended								12 Months Ended
	Dec. 31, 2014	Sep. 30, 2014	Jun. 30, 2014	Mar. 31, 2014	Dec. 31, 2013	Sep. 30, 2013	Jun. 30, 2013	Mar. 31, 2013	Dec. 31, 2014	Dec. 31, 2013	Dec. 31, 2012
Segment Reporting, Asset Reconciling Item [Line Items]
Revenues	$ 637.8us-gaap_SalesRevenueNet	$ 653.8us-gaap_SalesRevenueNet	$ 662.7us-gaap_SalesRevenueNet	$ 644.7us-gaap_SalesRevenueNet	$ 579.5us-gaap_SalesRevenueNet	$ 570.8us-gaap_SalesRevenueNet	$ 537.6us-gaap_SalesRevenueNet	$ 515.4us-gaap_SalesRevenueNet	$ 2,599.0us-gaap_SalesRevenueNet	$ 2,203.3us-gaap_SalesRevenueNet	$ 1,914.3us-gaap_SalesRevenueNet
% of Revenues									100.00%beav_PercentageOfNetRevenue	100.00%beav_PercentageOfNetRevenue	100.00%beav_PercentageOfNetRevenue
UNITED STATES
Segment Reporting, Asset Reconciling Item [Line Items]
Revenues									859.1	788.3	771.7
% of Revenues									33.10%	35.80%	40.30%
Europe
Segment Reporting, Asset Reconciling Item [Line Items]
Revenues									684.6	549.3	465.5
% of Revenues									26.30%	24.90%	24.30%
Asia, Pacific Rim, Middle East and other
Segment Reporting, Asset Reconciling Item [Line Items]
Revenues									$ 1,055.3	$ 865.7	$ 677.1
% of Revenues									40.60%	39.30%	35.40%