57 is what percent of 12081 - 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 12081 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 12081, so we can write it down as 100%=12081.
4. We know, that x% equals 57 of the output value, so we can write it down as x%=57.
5. Now we have two simple equations:
1) 100%=12081
2) x%=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%=12081/57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 57 is what percent of 12081

100%/x%=12081/57
(100/x)*x=(12081/57)*x       - we multiply both sides of the equation by x
100=211.94736842105*x       - we divide both sides of the equation by (211.94736842105) to get x
100/211.94736842105=x
0.4718152470822=x
x=0.4718152470822

now we have:
57 is 0.4718152470822% of 12081