11.7 is what percent of 102.6 - 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 102.6 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 102.6, so we can write it down as 100%=102.6.
4. We know, that x% equals 11.7 of the output value, so we can write it down as x%=11.7.
5. Now we have two simple equations:
1) 100%=102.6
2) x%=11.7
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%=102.6/11.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.7 is what percent of 102.6

100%/x%=102.6/11.7
(100/x)*x=(102.6/11.7)*x       - we multiply both sides of the equation by x
100=8.7692307692308*x       - we divide both sides of the equation by (8.7692307692308) to get x
100/8.7692307692308=x
11.40350877193=x
x=11.40350877193

now we have:
11.7 is 11.40350877193% of 102.6