8.25 is what percent of 13300 - 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 13300 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 13300, so we can write it down as 100%=13300.
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%=13300
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%=13300/8.25
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 13300

100%/x%=13300/8.25
(100/x)*x=(13300/8.25)*x       - we multiply both sides of the equation by x
100=1612.1212121212*x       - we divide both sides of the equation by (1612.1212121212) to get x
100/1612.1212121212=x
0.06203007518797=x
x=0.06203007518797

now we have:
8.25 is 0.06203007518797% of 13300