How would I find the element number of a certain point x along a bar broken into y # of elements? (Shape Functions FEA)

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Emily Heil 2020-3-26

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https://ww2.mathworks.cn/matlabcentral/answers/513234-how-would-i-find-the-element-number-of-a-certain-point-x-along-a-bar-broken-into-y-of-elements

I am performing FEA on a 205mm bar broken 1-205 equal length elements (code must work for any number of elements). I need to find the displacement at the point x=100. I plan to use a shape function to interpolate using the nodal displacements of the element that this point lies on. However, I am not sure how I would calculate which element the point lies on (or which nodes it is in between).