7.25 is what percent of 20.25 - 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 20.25 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 20.25, so we can write it down as 100%=20.25.
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%=20.25
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%=20.25/7.25
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 20.25

100%/x%=20.25/7.25
(100/x)*x=(20.25/7.25)*x       - we multiply both sides of the equation by x
100=2.7931034482759*x       - we divide both sides of the equation by (2.7931034482759) to get x
100/2.7931034482759=x
35.802469135802=x
x=35.802469135802

now we have:
7.25 is 35.802469135802% of 20.25