7.25 is what percent of 21.25 - 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 21.25 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 21.25, so we can write it down as 100%=21.25.
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%=21.25
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%=21.25/7.25
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 21.25

100%/x%=21.25/7.25
(100/x)*x=(21.25/7.25)*x       - we multiply both sides of the equation by x
100=2.9310344827586*x       - we divide both sides of the equation by (2.9310344827586) to get x
100/2.9310344827586=x
34.117647058824=x
x=34.117647058824

now we have:
7.25 is 34.117647058824% of 21.25