The phrase "a greater segment" is correct and usable in written English.
It can be used when referring to a larger portion or part of something, often in a comparative context.
Example: "In the recent survey, a greater segment of the population expressed a preference for renewable energy sources."
Alternatives: "a larger portion" or "a bigger part".
Peter Weinberg, a founding partner of Perella Weinberg, said in a statement that Mr. Silver's "broad pharmaceutical and healthcare industry experience complements our existing capabilities and allows us to advise clients across a greater segment of the healthcare sector".
"I think that there must be a greater segment of our population that has tenuous connections to family and friends, and therefore has fewer resources to fall back on when something very bad happens like when they lose their job," he said.
And Dan gave us a great segment about the thousands of navvies who worked like beasts and lived in mud huts.
"Without her passion, focus and drive, many of these stories might well have gone untold and a great segment of the game's history might have been lost".
3) Of the government of the Islamic Republic, we request that in view of the distrust on the part of a great segment of the country's population, it form an independent truth and national reconciliation commission with representation from all candidates, such that it can gain the trust of the people of Iran and find a reasonable solution for the conflict.
(HuffPost Live recently had a great segment holding Murtaza Hussain accountable for his claims).
We liked your sense of humor in the article and think this could be a great segment".
"We know this is a great segment to be in," said Jeff Curry, vice president of Jaguar North America.
A visibly ill Jon Stewart came through to do "The Daily Show" Tuesday night, and still managed to do a solid show with a great segment from Senior Women's Correspondent Kristen Schaal.
Last week, our friend Stephen Colbert featured a great segment on his show about a family with sick children who were forced by Range Resources Corporation to sign a gag order to never talk about fracking again for the rest of their lives.
In the meantime, I invite you to take a look at Jon Oliver's a great segment about the clinic shutdown law (word to the wise: it's not G-rated), which it includes a look at one of the building specifications--the width of their hallways.
