A news story that quotes a poll usually prints a percentage instead of the raw vote counts. From that percentage alone, work out how small the sample could have been.
The question takes yes or no as its only answers. If k of the n people in the sample answered yes, then 0≤k≤n, and the story prints n100k rounded at the fourth decimal place. When the fourth decimal digit is 5 or more the third decimal place goes up, otherwise everything from the fourth digit on is dropped.
Given the percentage printed in the story, find the smallest possible value of n.