264.55 is what percent of 12900 - 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 12900 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 12900, so we can write it down as 100%=12900.
4. We know, that x% equals 264.55 of the output value, so we can write it down as x%=264.55.
5. Now we have two simple equations:
1) 100%=12900
2) x%=264.55
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%=12900/264.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 264.55 is what percent of 12900

100%/x%=12900/264.55
(100/x)*x=(12900/264.55)*x       - we multiply both sides of the equation by x
100=48.762048762049*x       - we divide both sides of the equation by (48.762048762049) to get x
100/48.762048762049=x
2.0507751937984=x
x=2.0507751937984

now we have:
264.55 is 2.0507751937984% of 12900