1266.4 is what percent of 11820 - 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 11820 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 11820, so we can write it down as 100%=11820.
4. We know, that x% equals 1266.4 of the output value, so we can write it down as x%=1266.4.
5. Now we have two simple equations:
1) 100%=11820
2) x%=1266.4
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%=11820/1266.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1266.4 is what percent of 11820

100%/x%=11820/1266.4
(100/x)*x=(11820/1266.4)*x       - we multiply both sides of the equation by x
100=9.3335439039798*x       - we divide both sides of the equation by (9.3335439039798) to get x
100/9.3335439039798=x
10.714043993232=x
x=10.714043993232

now we have:
1266.4 is 10.714043993232% of 11820