33.53 is what percent of 57.88 - 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 57.88 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 57.88, so we can write it down as 100%=57.88.
4. We know, that x% equals 33.53 of the output value, so we can write it down as x%=33.53.
5. Now we have two simple equations:
1) 100%=57.88
2) x%=33.53
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%=57.88/33.53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 33.53 is what percent of 57.88

100%/x%=57.88/33.53
(100/x)*x=(57.88/33.53)*x       - we multiply both sides of the equation by x
100=1.7262153295556*x       - we divide both sides of the equation by (1.7262153295556) to get x
100/1.7262153295556=x
57.930200414651=x
x=57.930200414651

now we have:
33.53 is 57.930200414651% of 57.88