32.96 is what percent of 130.67 - 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 130.67 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 130.67, so we can write it down as 100%=130.67.
4. We know, that x% equals 32.96 of the output value, so we can write it down as x%=32.96.
5. Now we have two simple equations:
1) 100%=130.67
2) x%=32.96
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%=130.67/32.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32.96 is what percent of 130.67

100%/x%=130.67/32.96
(100/x)*x=(130.67/32.96)*x       - we multiply both sides of the equation by x
100=3.9645024271845*x       - we divide both sides of the equation by (3.9645024271845) to get x
100/3.9645024271845=x
25.223846330451=x
x=25.223846330451

now we have:
32.96 is 25.223846330451% of 130.67