1268.96 is what percent of 11808.51 - 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 11808.51 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 11808.51, so we can write it down as 100%=11808.51.
4. We know, that x% equals 1268.96 of the output value, so we can write it down as x%=1268.96.
5. Now we have two simple equations:
1) 100%=11808.51
2) x%=1268.96
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%=11808.51/1268.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1268.96 is what percent of 11808.51

100%/x%=11808.51/1268.96
(100/x)*x=(11808.51/1268.96)*x       - we multiply both sides of the equation by x
100=9.3056597528685*x       - we divide both sides of the equation by (9.3056597528685) to get x
100/9.3056597528685=x
10.746148328621=x
x=10.746148328621

now we have:
1268.96 is 10.746148328621% of 11808.51