8.01 is what percent of 53.66 - 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 53.66 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 53.66, so we can write it down as 100%=53.66.
4. We know, that x% equals 8.01 of the output value, so we can write it down as x%=8.01.
5. Now we have two simple equations:
1) 100%=53.66
2) x%=8.01
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%=53.66/8.01
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.01 is what percent of 53.66

100%/x%=53.66/8.01
(100/x)*x=(53.66/8.01)*x       - we multiply both sides of the equation by x
100=6.6991260923845*x       - we divide both sides of the equation by (6.6991260923845) to get x
100/6.6991260923845=x
14.927320163996=x
x=14.927320163996

now we have:
8.01 is 14.927320163996% of 53.66