38.63 is what percent of 154.5 - 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 154.5 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 154.5, so we can write it down as 100%=154.5.
4. We know, that x% equals 38.63 of the output value, so we can write it down as x%=38.63.
5. Now we have two simple equations:
1) 100%=154.5
2) x%=38.63
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%=154.5/38.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38.63 is what percent of 154.5

100%/x%=154.5/38.63
(100/x)*x=(154.5/38.63)*x       - we multiply both sides of the equation by x
100=3.9994822676676*x       - we divide both sides of the equation by (3.9994822676676) to get x
100/3.9994822676676=x
25.003236245955=x
x=25.003236245955

now we have:
38.63 is 25.003236245955% of 154.5