0.48 is what percent of 14.5 - 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 14.5 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 14.5, so we can write it down as 100%=14.5.
4. We know, that x% equals 0.48 of the output value, so we can write it down as x%=0.48.
5. Now we have two simple equations:
1) 100%=14.5
2) x%=0.48
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%=14.5/0.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.48 is what percent of 14.5

100%/x%=14.5/0.48
(100/x)*x=(14.5/0.48)*x       - we multiply both sides of the equation by x
100=30.208333333333*x       - we divide both sides of the equation by (30.208333333333) to get x
100/30.208333333333=x
3.3103448275862=x
x=3.3103448275862

now we have:
0.48 is 3.3103448275862% of 14.5