Three candidates are running for the office of Grand Satrapy of Vorania. The third- and second-place candidates received $28$ and $98$ votes, respectively. There were no ties. If the winner received $

Three candidates are running for the office of Grand Satrapy of Vorania. The third- and second-place candidates received $28$ and $98$ votes, respectively. There were no ties. If the winner received $x%$ of the total votes, what is the smallest possible value of $x$?

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