14.8 is what percent of 38.5 - 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 38.5 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 38.5, so we can write it down as 100%=38.5.
4. We know, that x% equals 14.8 of the output value, so we can write it down as x%=14.8.
5. Now we have two simple equations:
1) 100%=38.5
2) x%=14.8
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%=38.5/14.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 14.8 is what percent of 38.5

100%/x%=38.5/14.8
(100/x)*x=(38.5/14.8)*x       - we multiply both sides of the equation by x
100=2.6013513513514*x       - we divide both sides of the equation by (2.6013513513514) to get x
100/2.6013513513514=x
38.441558441558=x
x=38.441558441558

now we have:
14.8 is 38.441558441558% of 38.5