18 is what percent of 223.41 - 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 223.41 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 223.41, so we can write it down as 100%=223.41.
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%=223.41
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%=223.41/18
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 223.41

100%/x%=223.41/18
(100/x)*x=(223.41/18)*x       - we multiply both sides of the equation by x
100=12.411666666667*x       - we divide both sides of the equation by (12.411666666667) to get x
100/12.411666666667=x
8.0569356787968=x
x=8.0569356787968

now we have:
18 is 8.0569356787968% of 223.41