4.59 is what percent of 18.36 - 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 18.36 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 18.36, so we can write it down as 100%=18.36.
4. We know, that x% equals 4.59 of the output value, so we can write it down as x%=4.59.
5. Now we have two simple equations:
1) 100%=18.36
2) x%=4.59
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%=18.36/4.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.59 is what percent of 18.36

100%/x%=18.36/4.59
(100/x)*x=(18.36/4.59)*x       - we multiply both sides of the equation by x
100=4*x       - we divide both sides of the equation by (4) to get x
100/4=x
25=x
x=25

now we have:
4.59 is 25% of 18.36