6747.69 is what percent of 12850 - 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 12850 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 12850, so we can write it down as 100%=12850.
4. We know, that x% equals 6747.69 of the output value, so we can write it down as x%=6747.69.
5. Now we have two simple equations:
1) 100%=12850
2) x%=6747.69
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%=12850/6747.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6747.69 is what percent of 12850

100%/x%=12850/6747.69
(100/x)*x=(12850/6747.69)*x       - we multiply both sides of the equation by x
100=1.9043554164462*x       - we divide both sides of the equation by (1.9043554164462) to get x
100/1.9043554164462=x
52.511206225681=x
x=52.511206225681

now we have:
6747.69 is 52.511206225681% of 12850