14.14 is what percent of 116 - 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 116 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 116, so we can write it down as 100%=116.
4. We know, that x% equals 14.14 of the output value, so we can write it down as x%=14.14.
5. Now we have two simple equations:
1) 100%=116
2) x%=14.14
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%=116/14.14
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 14.14 is what percent of 116

100%/x%=116/14.14
(100/x)*x=(116/14.14)*x       - we multiply both sides of the equation by x
100=8.2036775106082*x       - we divide both sides of the equation by (8.2036775106082) to get x
100/8.2036775106082=x
12.189655172414=x
x=12.189655172414

now we have:
14.14 is 12.189655172414% of 116