8.25 is what percent of 24600 - 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 24600 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 24600, so we can write it down as 100%=24600.
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%=24600
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%=24600/8.25
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 24600

100%/x%=24600/8.25
(100/x)*x=(24600/8.25)*x       - we multiply both sides of the equation by x
100=2981.8181818182*x       - we divide both sides of the equation by (2981.8181818182) to get x
100/2981.8181818182=x
0.033536585365854=x
x=0.033536585365854

now we have:
8.25 is 0.033536585365854% of 24600