14.01 is what percent of 500.5 - 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 500.5 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 500.5, so we can write it down as 100%=500.5.
4. We know, that x% equals 14.01 of the output value, so we can write it down as x%=14.01.
5. Now we have two simple equations:
1) 100%=500.5
2) x%=14.01
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%=500.5/14.01
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 14.01 is what percent of 500.5

100%/x%=500.5/14.01
(100/x)*x=(500.5/14.01)*x       - we multiply both sides of the equation by x
100=35.724482512491*x       - we divide both sides of the equation by (35.724482512491) to get x
100/35.724482512491=x
2.7992007992008=x
x=2.7992007992008

now we have:
14.01 is 2.7992007992008% of 500.5