18 is what percent of 154.8 - 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 154.8 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 154.8, so we can write it down as 100%=154.8.
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%=154.8
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%=154.8/18
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 154.8

100%/x%=154.8/18
(100/x)*x=(154.8/18)*x       - we multiply both sides of the equation by x
100=8.6*x       - we divide both sides of the equation by (8.6) to get x
100/8.6=x
11.627906976744=x
x=11.627906976744

now we have:
18 is 11.627906976744% of 154.8