14.49 is what percent of 39.79 - 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 39.79 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 39.79, so we can write it down as 100%=39.79.
4. We know, that x% equals 14.49 of the output value, so we can write it down as x%=14.49.
5. Now we have two simple equations:
1) 100%=39.79
2) x%=14.49
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%=39.79/14.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 14.49 is what percent of 39.79

100%/x%=39.79/14.49
(100/x)*x=(39.79/14.49)*x       - we multiply both sides of the equation by x
100=2.7460317460317*x       - we divide both sides of the equation by (2.7460317460317) to get x
100/2.7460317460317=x
36.416184971098=x
x=36.416184971098

now we have:
14.49 is 36.416184971098% of 39.79