25.36 is what percent of 79.25 - 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 79.25 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 79.25, so we can write it down as 100%=79.25.
4. We know, that x% equals 25.36 of the output value, so we can write it down as x%=25.36.
5. Now we have two simple equations:
1) 100%=79.25
2) x%=25.36
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%=79.25/25.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25.36 is what percent of 79.25

100%/x%=79.25/25.36
(100/x)*x=(79.25/25.36)*x       - we multiply both sides of the equation by x
100=3.125*x       - we divide both sides of the equation by (3.125) to get x
100/3.125=x
32=x
x=32

now we have:
25.36 is 32% of 79.25