18.79 is what percent of 96.27 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 96.27 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 96.27, so we can write it down as 100%=96.27.
4. We know, that x% equals 18.79 of the output value, so we can write it down as x%=18.79.
5. Now we have two simple equations:
1) 100%=96.27
2) x%=18.79
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=96.27/18.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.79 is what percent of 96.27

100%/x%=96.27/18.79
(100/x)*x=(96.27/18.79)*x       - we multiply both sides of the equation by x
100=5.1234699308143*x       - we divide both sides of the equation by (5.1234699308143) to get x
100/5.1234699308143=x
19.518022229147=x
x=19.518022229147

now we have:
18.79 is 19.518022229147% of 96.27