The phrase "a significant majority in" is correct and usable in written English.
It can be used when discussing the extent of agreement or support within a particular group or context.
Example: "A significant majority in the survey indicated that they preferred the new policy over the old one."
Alternatives: "a large majority in" or "a considerable majority in".
A month ago, a significant majority in that poll said he should.
The results put the Tories on track to secure a significant majority in the general election.
With Democrats controlling the White House and holding a significant majority in Congress, proponents say they think their moment has come.
"I think that there is a significant majority in the U.S. Congress that believes it is time to engage in dialogue," Delahunt said.
A larger group of Labour MPs, number 66, ensured that the air strikes were supported by a significant majority in the House of Commons, however.
They've read very little about Bolsheviks and Mensheviks, and how they expand their power by getting a significant majority in each layer of the decision making process.
"A significant majority voted in support of a reform program that was completely advocated, advertised, trumpeted".
Schneider would not give the breakdown of the votes for visors, but he said a significant majority was in favor.
It is thought that Omnicom has bought a significant majority stake in Portland, with Allan and his management team retaining a sizeable minority holding, although the amount has not been disclosed.
They are merging in a transaction being overseen by the investment firm, the Wicks Group of Companies, which is taking a significant majority stake in the combined company, to be named McMurry/TMG.
A significant majority (6 in 10) believe that the development of Islamic banking has more to do with being faithful to Islam than any other criterion (although the proponents of Islamic finance often cite the superiority of IFSI is due to its purported commitment to social justice and welfare).
