18 is what percent of 237.9 - 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 237.9 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 237.9, so we can write it down as 100%=237.9.
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%=237.9
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%=237.9/18
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 237.9

100%/x%=237.9/18
(100/x)*x=(237.9/18)*x       - we multiply both sides of the equation by x
100=13.216666666667*x       - we divide both sides of the equation by (13.216666666667) to get x
100/13.216666666667=x
7.5662042875158=x
x=7.5662042875158

now we have:
18 is 7.5662042875158% of 237.9