18.5 is what percent of 78.5 - 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 78.5 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 78.5, so we can write it down as 100%=78.5.
4. We know, that x% equals 18.5 of the output value, so we can write it down as x%=18.5.
5. Now we have two simple equations:
1) 100%=78.5
2) x%=18.5
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%=78.5/18.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.5 is what percent of 78.5

100%/x%=78.5/18.5
(100/x)*x=(78.5/18.5)*x       - we multiply both sides of the equation by x
100=4.2432432432432*x       - we divide both sides of the equation by (4.2432432432432) to get x
100/4.2432432432432=x
23.566878980892=x
x=23.566878980892

now we have:
18.5 is 23.566878980892% of 78.5