14.68 is what percent of 92.68 - 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 92.68 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 92.68, so we can write it down as 100%=92.68.
4. We know, that x% equals 14.68 of the output value, so we can write it down as x%=14.68.
5. Now we have two simple equations:
1) 100%=92.68
2) x%=14.68
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%=92.68/14.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 14.68 is what percent of 92.68

100%/x%=92.68/14.68
(100/x)*x=(92.68/14.68)*x       - we multiply both sides of the equation by x
100=6.3133514986376*x       - we divide both sides of the equation by (6.3133514986376) to get x
100/6.3133514986376=x
15.839447561502=x
x=15.839447561502

now we have:
14.68 is 15.839447561502% of 92.68