14.88 is what percent of 204.64 - 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 204.64 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 204.64, so we can write it down as 100%=204.64.
4. We know, that x% equals 14.88 of the output value, so we can write it down as x%=14.88.
5. Now we have two simple equations:
1) 100%=204.64
2) x%=14.88
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%=204.64/14.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 14.88 is what percent of 204.64

100%/x%=204.64/14.88
(100/x)*x=(204.64/14.88)*x       - we multiply both sides of the equation by x
100=13.752688172043*x       - we divide both sides of the equation by (13.752688172043) to get x
100/13.752688172043=x
7.2713057075841=x
x=7.2713057075841

now we have:
14.88 is 7.2713057075841% of 204.64