25 is what percent of 13.25 - 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 13.25 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 13.25, so we can write it down as 100%=13.25.
4. We know, that x% equals 25 of the output value, so we can write it down as x%=25.
5. Now we have two simple equations:
1) 100%=13.25
2) x%=25
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%=13.25/25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25 is what percent of 13.25

100%/x%=13.25/25
(100/x)*x=(13.25/25)*x       - we multiply both sides of the equation by x
100=0.53*x       - we divide both sides of the equation by (0.53) to get x
100/0.53=x
188.67924528302=x
x=188.67924528302

now we have:
25 is 188.67924528302% of 13.25