The phrase "agreed overwhelmingly" is correct and usable in written English.
It can be used to indicate that a large majority of people or a group have come to a consensus or agreement on a particular issue.
Example: "The proposal for the new policy was agreed overwhelmingly by the committee members during the meeting."
Alternatives: "widely accepted" or "strongly endorsed".
Participants agreed overwhelmingly that generics were "a better value" than branded drugs, and fewer than 10 percent believed that generic drugs caused more side effects.
Its final report was agreed overwhelmingly and recommended better public engagement, cross-house secret ballot elections of select committee chairs, intraparty secret ballot elections of select committee members and back bench control over so-called "non-government business".
They agreed overwhelmingly -- 87percentt -- that Turkey should keep its goal of full membership: a major gap of opinion between foreign policy experts and public opinion.
The 500 K and CGH-BAC array agreed overwhelmingly in determining regions with changes in CN status within a diploid background, and generally closely agreed on the breakpoints.
Media pundits and political strategists agree overwhelmingly that Hillary's lead within the Party is unassailable.
Participants in care of dying patients agree overwhelmingly with the importance of preparation.
Paleontologists, anthropologists, and historians today agree overwhelmingly on this story, though creationists of most faiths would of course differ.
Unlike the health care bill, however, or the financial bailout in 2008, the debt deal was agreed to overwhelmingly by Congressional incumbents running in swing seats.
Devastatingly for both Dynamo and Derren Brown, Christians and all other Brits could agree on overwhelmingly not believing in magic.
The American people overwhelmingly agreed.
Asked "is meritocracy naturally unequal?" tech founders overwhelmingly agreed.
