Google said Wednesday that it had found a willing buyer for its Performics search-marketing unit: Publicis Groupe, the giant French advertising holding company.

Performics had been owned by DoubleClick, and ever since Google’s acquisition of that company closed, Google has been expected to unload Performics. The conflict of interest is pretty clear, given that Performics advises clients on how to maximize their visibility on Google. Google itself said as much back in April.

Publicis, meanwhile, has been trying to strengthen its digital offerings. The company, which owns ad agencies including Leo Burnett and Saatchi & Saatchi — and thus handles work for clients like Visa and General Motors — recently reorganized. This was meant to help its four media-buying agencies offer clients more scale for digital ad placements, to allow the company to begin work on ad-exchange strategies, and to help it train its staff better in digital technologies.