13.06 is what percent of 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 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 25, so we can write it down as 100%=25.
4. We know, that x% equals 13.06 of the output value, so we can write it down as x%=13.06.
5. Now we have two simple equations:
1) 100%=25
2) x%=13.06
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%=25/13.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.06 is what percent of 25

100%/x%=25/13.06
(100/x)*x=(25/13.06)*x       - we multiply both sides of the equation by x
100=1.9142419601838*x       - we divide both sides of the equation by (1.9142419601838) to get x
100/1.9142419601838=x
52.24=x
x=52.24

now we have:
13.06 is 52.24% of 25