17.57 is what percent of 108 - 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 108 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 108, so we can write it down as 100%=108.
4. We know, that x% equals 17.57 of the output value, so we can write it down as x%=17.57.
5. Now we have two simple equations:
1) 100%=108
2) x%=17.57
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%=108/17.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.57 is what percent of 108

100%/x%=108/17.57
(100/x)*x=(108/17.57)*x       - we multiply both sides of the equation by x
100=6.1468412066022*x       - we divide both sides of the equation by (6.1468412066022) to get x
100/6.1468412066022=x
16.268518518519=x
x=16.268518518519

now we have:
17.57 is 16.268518518519% of 108