18.16 is what percent of 458 - 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 458 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 458, so we can write it down as 100%=458.
4. We know, that x% equals 18.16 of the output value, so we can write it down as x%=18.16.
5. Now we have two simple equations:
1) 100%=458
2) x%=18.16
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%=458/18.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.16 is what percent of 458

100%/x%=458/18.16
(100/x)*x=(458/18.16)*x       - we multiply both sides of the equation by x
100=25.220264317181*x       - we divide both sides of the equation by (25.220264317181) to get x
100/25.220264317181=x
3.9650655021834=x
x=3.9650655021834

now we have:
18.16 is 3.9650655021834% of 458