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Parts per million is a fraction with denominator 1,000,000. For example 5 parts per million means 5/1,000,000.

Percent is a fraction with denominator 100.

For example, 5 percent is 5/100.

So your goal is to convert a fraction with denominator 1,000,000 into a fraction with denominator 100.

Let's work an example:

5 parts per million means 5/1,000,000.

The rules of fractions allow us to multiply the numerator and denominator by the same number (except 0).

So multiply numerator and denominator by .0001 and we get

.0005/100.

Another word for .0005/100 is .0005 percent.

So the general rule is multiply the parts per million by .0001 or divide by 10,000 (same thing).

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Q: How to convert parts per million to percent?
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