4.86 is what percent of 80.72 - 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 80.72 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 80.72, so we can write it down as 100%=80.72.
4. We know, that x% equals 4.86 of the output value, so we can write it down as x%=4.86.
5. Now we have two simple equations:
1) 100%=80.72
2) x%=4.86
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%=80.72/4.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.86 is what percent of 80.72

100%/x%=80.72/4.86
(100/x)*x=(80.72/4.86)*x       - we multiply both sides of the equation by x
100=16.609053497942*x       - we divide both sides of the equation by (16.609053497942) to get x
100/16.609053497942=x
6.0208126858276=x
x=6.0208126858276

now we have:
4.86 is 6.0208126858276% of 80.72