39.84 is what percent of 15.788 - 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 15.788 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 15.788, so we can write it down as 100%=15.788.
4. We know, that x% equals 39.84 of the output value, so we can write it down as x%=39.84.
5. Now we have two simple equations:
1) 100%=15.788
2) x%=39.84
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%=15.788/39.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 39.84 is what percent of 15.788

100%/x%=15.788/39.84
(100/x)*x=(15.788/39.84)*x       - we multiply both sides of the equation by x
100=0.39628514056225*x       - we divide both sides of the equation by (0.39628514056225) to get x
100/0.39628514056225=x
252.34355206486=x
x=252.34355206486

now we have:
39.84 is 252.34355206486% of 15.788