Area Normalizing Percentages after Intersect

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I am summarizing Census data within custom drawn polygons. I am summarizing age data (percent male 24-29, etc.). As with whole numbers, I assumed I would need to area normalize the data AFTER the census tract/polygon intersect, but when I do this the values are too small.

If a Census Tract's population of men aged 24-29 is 20%, and my polygon only overlaps 10% of its area, then I assumed I would assign 10% of 20% to my polygon.

Can someone help me understand why this doesn't work or apply to age percentages?



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