Answer: p = 16.66%
Step-by-step-Explanation: The easiest way to solve this is by setting up a proportion. A proportion is simply a pair of equal ratios or two fractions that are equal to one another.
In this case we don't know what the percent is but it's important to understand that percent means out of 100 so our denominator for the first fraction is going to be 100. Since we don't know what the percent is since it's asking us to find the percent, we can represent this as a variable. A variable is a letter that represents any number so let's use p.
So we have our first fraction which is [tex]\frac{p}{100}[/tex] and in a proportion the fractions are equal to one another so we will put an equals sign. Our next fraction is going to be is over of. We can determine which is going to be the is and which is going to be the of by looking at the keywords.
So it says 10 is what percent of 60 so it's already telling us that 10 is going to be the is and 60 is going to be the of. So it will be [tex]\frac{10}{60}[/tex] and we know have two fractions or 2 ratios and it is [tex]\frac{p}{100} = \frac{10}{60}[/tex].
In order to solve for p we will use cross products so we multiply p by 60 and 10 by 100 so we get 60p = 600.
Now we divide both sides of our equation by 60 in order to isolate p and we find that p = 16.66. In most cases you will round to the hundredths place so we can say that p is equal to approximately.
This means that 10 is approximately 16.66% of the number 60.