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Calculating the overlapping percentage of multiple polygons

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Hi,

By serving the Network analyst_service area tool I have derived some polygons containing the walking distance of 0.5km from facilities (I have 3000 facilities in the model). This has derived thousand of polygons, any of which overlaps with many others.

To fix ideas, let's say polygon 'a' overlaps polygons 'b', 'c' and 'd' (similarly b overlaps a, e,f and z). I would like to derive the ratio of the overlapping area of a and b (Aab) to the total overlaps of a,b,c, and d (Aabcd), ie the following ratio:

Ratio(ab)=(Aab/Aabcd)

In the end, I need a matrix containing the ratios for all the polygons.
Sorry if this is a very basic question as I am very new to GIS. I did search the forum and the web but I couldn’t find the desired answer.

Thanks,
Eilya.

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