15.05 is what percent of 54.55 - 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 54.55 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 54.55, so we can write it down as 100%=54.55.
4. We know, that x% equals 15.05 of the output value, so we can write it down as x%=15.05.
5. Now we have two simple equations:
1) 100%=54.55
2) x%=15.05
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%=54.55/15.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15.05 is what percent of 54.55

100%/x%=54.55/15.05
(100/x)*x=(54.55/15.05)*x       - we multiply both sides of the equation by x
100=3.624584717608*x       - we divide both sides of the equation by (3.624584717608) to get x
100/3.624584717608=x
27.589367552704=x
x=27.589367552704

now we have:
15.05 is 27.589367552704% of 54.55