14.78 is what percent of 184.72 - 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 184.72 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 184.72, so we can write it down as 100%=184.72.
4. We know, that x% equals 14.78 of the output value, so we can write it down as x%=14.78.
5. Now we have two simple equations:
1) 100%=184.72
2) x%=14.78
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%=184.72/14.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 14.78 is what percent of 184.72

100%/x%=184.72/14.78
(100/x)*x=(184.72/14.78)*x       - we multiply both sides of the equation by x
100=12.497970230041*x       - we divide both sides of the equation by (12.497970230041) to get x
100/12.497970230041=x
8.0012992637505=x
x=8.0012992637505

now we have:
14.78 is 8.0012992637505% of 184.72