12.78 is what percent of 2650 - 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 2650 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 2650, so we can write it down as 100%=2650.
4. We know, that x% equals 12.78 of the output value, so we can write it down as x%=12.78.
5. Now we have two simple equations:
1) 100%=2650
2) x%=12.78
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%=2650/12.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.78 is what percent of 2650

100%/x%=2650/12.78
(100/x)*x=(2650/12.78)*x       - we multiply both sides of the equation by x
100=207.35524256651*x       - we divide both sides of the equation by (207.35524256651) to get x
100/207.35524256651=x
0.4822641509434=x
x=0.4822641509434

now we have:
12.78 is 0.4822641509434% of 2650