4.57 is what percent of 33.88 - 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 33.88 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 33.88, so we can write it down as 100%=33.88.
4. We know, that x% equals 4.57 of the output value, so we can write it down as x%=4.57.
5. Now we have two simple equations:
1) 100%=33.88
2) x%=4.57
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%=33.88/4.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.57 is what percent of 33.88

100%/x%=33.88/4.57
(100/x)*x=(33.88/4.57)*x       - we multiply both sides of the equation by x
100=7.4135667396061*x       - we divide both sides of the equation by (7.4135667396061) to get x
100/7.4135667396061=x
13.488783943329=x
x=13.488783943329

now we have:
4.57 is 13.488783943329% of 33.88