7.25 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 7.25 of the output value, so we can write it down as x%=7.25.
5. Now we have two simple equations:
1) 100%=13.25
2) x%=7.25
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%=13.25/7.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.25 is what percent of 13.25

100%/x%=13.25/7.25
(100/x)*x=(13.25/7.25)*x       - we multiply both sides of the equation by x
100=1.8275862068966*x       - we divide both sides of the equation by (1.8275862068966) to get x
100/1.8275862068966=x
54.716981132075=x
x=54.716981132075

now we have:
7.25 is 54.716981132075% of 13.25