14.55 is what percent of 48.56 - 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 48.56 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 48.56, so we can write it down as 100%=48.56.
4. We know, that x% equals 14.55 of the output value, so we can write it down as x%=14.55.
5. Now we have two simple equations:
1) 100%=48.56
2) x%=14.55
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%=48.56/14.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 14.55 is what percent of 48.56

100%/x%=48.56/14.55
(100/x)*x=(48.56/14.55)*x       - we multiply both sides of the equation by x
100=3.3374570446735*x       - we divide both sides of the equation by (3.3374570446735) to get x
100/3.3374570446735=x
29.962932454695=x
x=29.962932454695

now we have:
14.55 is 29.962932454695% of 48.56