8.25 is what percent of 24.53 - 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 24.53 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 24.53, so we can write it down as 100%=24.53.
4. We know, that x% equals 8.25 of the output value, so we can write it down as x%=8.25.
5. Now we have two simple equations:
1) 100%=24.53
2) x%=8.25
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%=24.53/8.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.25 is what percent of 24.53

100%/x%=24.53/8.25
(100/x)*x=(24.53/8.25)*x       - we multiply both sides of the equation by x
100=2.9733333333333*x       - we divide both sides of the equation by (2.9733333333333) to get x
100/2.9733333333333=x
33.632286995516=x
x=33.632286995516

now we have:
8.25 is 33.632286995516% of 24.53