18 is what percent of 37.59 - 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 37.59 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 37.59, so we can write it down as 100%=37.59.
4. We know, that x% equals 18 of the output value, so we can write it down as x%=18.
5. Now we have two simple equations:
1) 100%=37.59
2) x%=18
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%=37.59/18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18 is what percent of 37.59

100%/x%=37.59/18
(100/x)*x=(37.59/18)*x       - we multiply both sides of the equation by x
100=2.0883333333333*x       - we divide both sides of the equation by (2.0883333333333) to get x
100/2.0883333333333=x
47.885075818037=x
x=47.885075818037

now we have:
18 is 47.885075818037% of 37.59