How can I assign an object in a shapefile to a location based on another shapefile?

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I have two different shapefiles to work with: one of them has polygons representing tree canopy data and the other is a shapefile for census tracts in the area I am working on. I am trying to figure out what percent of each census tract's area is covered by tree canopy. Is there a way that I can assign the polygons to the census tract they are in based on their location? (The attribute table for the polygons only has the object id, shape length, and shape area).



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