18.76 is what percent of 234.53 - 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 234.53 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 234.53, so we can write it down as 100%=234.53.
4. We know, that x% equals 18.76 of the output value, so we can write it down as x%=18.76.
5. Now we have two simple equations:
1) 100%=234.53
2) x%=18.76
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%=234.53/18.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.76 is what percent of 234.53

100%/x%=234.53/18.76
(100/x)*x=(234.53/18.76)*x       - we multiply both sides of the equation by x
100=12.501599147122*x       - we divide both sides of the equation by (12.501599147122) to get x
100/12.501599147122=x
7.9989766767578=x
x=7.9989766767578

now we have:
18.76 is 7.9989766767578% of 234.53