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Assigning a value to a polygon grid cell based on raster

Question asked by jwatts_mdeq on Nov 12, 2015
Latest reply on Nov 12, 2015 by lsturtevant

I have a polygon square mile grid created using fishnet. It is overlaid on a raster that shows vegetation type (different color value for each type). I need to assign a value to the polygon cells based on what is within each cell (the raster image). I tried zonal statistics as a table (just the first thing that popped into my head) but that didn't give me a table I could work with. Any ideas on how do to this. Here is an example of the data.