27.57 is what percent of 38.37 - 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 38.37 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 38.37, so we can write it down as 100%=38.37.
4. We know, that x% equals 27.57 of the output value, so we can write it down as x%=27.57.
5. Now we have two simple equations:
1) 100%=38.37
2) x%=27.57
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%=38.37/27.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.57 is what percent of 38.37

100%/x%=38.37/27.57
(100/x)*x=(38.37/27.57)*x       - we multiply both sides of the equation by x
100=1.3917301414581*x       - we divide both sides of the equation by (1.3917301414581) to get x
100/1.3917301414581=x
71.853010164191=x
x=71.853010164191

now we have:
27.57 is 71.853010164191% of 38.37