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Creating a point shapefile from a percentage?

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I have been trying to find a tool or script that will allow me to create a new point shapefile from an existing point shape file. I need to select the first 1% of rows from my shapefile. I can't use a set number of rows because the total count for each shapefile changes with each file. Is there any tool or script that exits to do this? I have been doing it manually but I have over 1000 files to work with and it has been taking me weeks each time I try to do this process.

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