11.6 is what percent of 124.7 - 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 124.7 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 124.7, so we can write it down as 100%=124.7.
4. We know, that x% equals 11.6 of the output value, so we can write it down as x%=11.6.
5. Now we have two simple equations:
1) 100%=124.7
2) x%=11.6
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%=124.7/11.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.6 is what percent of 124.7

100%/x%=124.7/11.6
(100/x)*x=(124.7/11.6)*x       - we multiply both sides of the equation by x
100=10.75*x       - we divide both sides of the equation by (10.75) to get x
100/10.75=x
9.3023255813953=x
x=9.3023255813953

now we have:
11.6 is 9.3023255813953% of 124.7