33.41 is what percent of 257 - 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 257 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 257, so we can write it down as 100%=257.
4. We know, that x% equals 33.41 of the output value, so we can write it down as x%=33.41.
5. Now we have two simple equations:
1) 100%=257
2) x%=33.41
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%=257/33.41
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 33.41 is what percent of 257

100%/x%=257/33.41
(100/x)*x=(257/33.41)*x       - we multiply both sides of the equation by x
100=7.6923076923077*x       - we divide both sides of the equation by (7.6923076923077) to get x
100/7.6923076923077=x
13=x
x=13

now we have:
33.41 is 13% of 257