57.07 is what percent of 320 - 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 320 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 320, so we can write it down as 100%=320.
4. We know, that x% equals 57.07 of the output value, so we can write it down as x%=57.07.
5. Now we have two simple equations:
1) 100%=320
2) x%=57.07
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%=320/57.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 57.07 is what percent of 320

100%/x%=320/57.07
(100/x)*x=(320/57.07)*x       - we multiply both sides of the equation by x
100=5.6071491151218*x       - we divide both sides of the equation by (5.6071491151218) to get x
100/5.6071491151218=x
17.834375=x
x=17.834375

now we have:
57.07 is 17.834375% of 320