Private-equity firm Carlyle Group LP plans to cut its stake in defense contractor Booz Allen Hamilton Holding Corp. by about $289.4 million, Booz Allen Hamilton said.

Carlyle Group, where former President George H.W. Bush once served as an adviser, acquired a majority stake in McLean, Va.-based Booz Allen in 2008 for $2.54 billion after Booz Allen separated its corporate-consulting unit from its larger government business.

In the current offering, the private-equity firm plans to sell an aggregate 10 million shares to underwriter J.P. Morgan Securities LLC.

In addition, Booz Allen has agreed to buy back 1 million shares.

The sale would pare down the Carlyle Group's stake on Booz Allen to about 37%.

Booz Allen won't sell any shares.

Booz Allen's shares closed at $26.31 Wednesday, up 37% year to date.

Write to Maria Armental at maria.armental@wsj.com

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