15.16 is what percent of 22.35 - 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 22.35 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 22.35, so we can write it down as 100%=22.35.
4. We know, that x% equals 15.16 of the output value, so we can write it down as x%=15.16.
5. Now we have two simple equations:
1) 100%=22.35
2) x%=15.16
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%=22.35/15.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15.16 is what percent of 22.35

100%/x%=22.35/15.16
(100/x)*x=(22.35/15.16)*x       - we multiply both sides of the equation by x
100=1.4742744063325*x       - we divide both sides of the equation by (1.4742744063325) to get x
100/1.4742744063325=x
67.829977628635=x
x=67.829977628635

now we have:
15.16 is 67.829977628635% of 22.35