The deal, which is expected to immediately add to earnings, includes the repayment of about $2.3 billion of Brakes' debt, Sysco said in a statement..
Brakes Group, which has operations in the United Kingdom, Ireland, France, Sweden, Spain, Belgium and Luxembourg, will operate as a standalone company within Sysco.
Sysco dropped its 18-month long pursuit of smaller rival US Foods [USFOO.UL] last year after the Federal Trade Commission won a lawsuit to block the $3.5 billion deal.
Bain Capital bought privately-held Brakes for about 1.3 billion pounds ($1.83 billion) in 2007.
The combined company is expected to generate annualized sales of about $55 billion.
Deutsche Bank Securities advised Sysco, while Freshfields Bruckhaus Deringer LLP and Ernst & Young LLP acted as legal and due diligence advisers.
Goldman Sachs International and Baker & McKenzie LLP acted as financial and legal advisers to Bain Capital Private Equity and Brakes Group.
($1 = 0.7104 pounds)
(this version of the story corrects paragraph 5 to say 'Bain Capital bought privately-held Brakes', not 'Bain Capital took Brakes private')
(Reporting by Sruthi Ramakrishnan in Bengaluru; Editing by Don Sebastian)