14.24 is what percent of 109.24 - 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 109.24 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 109.24, so we can write it down as 100%=109.24.
4. We know, that x% equals 14.24 of the output value, so we can write it down as x%=14.24.
5. Now we have two simple equations:
1) 100%=109.24
2) x%=14.24
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%=109.24/14.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 14.24 is what percent of 109.24

100%/x%=109.24/14.24
(100/x)*x=(109.24/14.24)*x       - we multiply both sides of the equation by x
100=7.6713483146067*x       - we divide both sides of the equation by (7.6713483146067) to get x
100/7.6713483146067=x
13.035518125229=x
x=13.035518125229

now we have:
14.24 is 13.035518125229% of 109.24