8.12 is what percent of 24.35 - 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 24.35 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 24.35, so we can write it down as 100%=24.35.
4. We know, that x% equals 8.12 of the output value, so we can write it down as x%=8.12.
5. Now we have two simple equations:
1) 100%=24.35
2) x%=8.12
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%=24.35/8.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.12 is what percent of 24.35

100%/x%=24.35/8.12
(100/x)*x=(24.35/8.12)*x       - we multiply both sides of the equation by x
100=2.9987684729064*x       - we divide both sides of the equation by (2.9987684729064) to get x
100/2.9987684729064=x
33.347022587269=x
x=33.347022587269

now we have:
8.12 is 33.347022587269% of 24.35