Question

What percent of 24 is 16

Answer 1

16 of 24 is 66 2/3%

To get this, you need to set up a proportion.
We are trying to convert this into percent which is known as $\frac{x}{100}$
The "x" is the part of the whole and the "100" is the whole
Now in this problem, 16 is the part and 24 is the whole
To set up these 2 numbers, you need to put the part divided by the whole
It should look like this:$\frac{part}{whole}$
You now have $\frac{16}{24}$ and $\frac{x}{100}$
You can reduce $\frac{16}{24}$ to $\frac{2}{3}$ ; however, it is not necessary; you will get the same answer anyway.
Now solve the proportion.
Make $\frac{16}{24}$ ($\frac{2}{3}$) = $\frac{x}{100}$ by solving for x.
The simplest way on the top of my mind to solve a proportion like this is to multiply the numerator of the first fraction with the denominator of the second fraction, and multiply the numerator of the second fraction with the denominator of the first fraction.
In this problem, you multiply 16 with 100 (or 2 with 100 if reduce) and 24 with x (or 3 with x if reduced)
You will get the the equation: $24x=1600$ which will reduce to $3x=200$ regardless if you reduced the first fraction or not.
Now, solve for x or isolate the variable.
In this problem, to "isolate" x, you need to divide 3 from 3x. When you divide on one side of the equation, you also need to divide from all the other sides of the equation so you need to divide 3 from 200.
The equation should look like this: $\frac{3x}{3} = \frac{200}{3}$
Simplify and you would get $66 \frac{2}{3}$ or if you inserted $\frac{200}{3}$ into your calculator, you would get $66.6666....$ which also equals $66 \frac{2}{3}$
Therefore, the answer is 66 2/3%