11.14 is what percent of 81.42 - 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 81.42 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 81.42, so we can write it down as 100%=81.42.
4. We know, that x% equals 11.14 of the output value, so we can write it down as x%=11.14.
5. Now we have two simple equations:
1) 100%=81.42
2) x%=11.14
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%=81.42/11.14
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.14 is what percent of 81.42

100%/x%=81.42/11.14
(100/x)*x=(81.42/11.14)*x       - we multiply both sides of the equation by x
100=7.3087971274686*x       - we divide both sides of the equation by (7.3087971274686) to get x
100/7.3087971274686=x
13.682141979858=x
x=13.682141979858

now we have:
11.14 is 13.682141979858% of 81.42