7.75 is what percent of 32.25 - 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 32.25 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 32.25, so we can write it down as 100%=32.25.
4. We know, that x% equals 7.75 of the output value, so we can write it down as x%=7.75.
5. Now we have two simple equations:
1) 100%=32.25
2) x%=7.75
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%=32.25/7.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.75 is what percent of 32.25

100%/x%=32.25/7.75
(100/x)*x=(32.25/7.75)*x       - we multiply both sides of the equation by x
100=4.1612903225806*x       - we divide both sides of the equation by (4.1612903225806) to get x
100/4.1612903225806=x
24.031007751938=x
x=24.031007751938

now we have:
7.75 is 24.031007751938% of 32.25