64.6 is what percent of 500 - 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 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, so we can write it down as 100%=500.
4. We know, that x% equals 64.6 of the output value, so we can write it down as x%=64.6.
5. Now we have two simple equations:
1) 100%=500
2) x%=64.6
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%=500/64.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 64.6 is what percent of 500

100%/x%=500/64.6
(100/x)*x=(500/64.6)*x       - we multiply both sides of the equation by x
100=7.7399380804954*x       - we divide both sides of the equation by (7.7399380804954) to get x
100/7.7399380804954=x
12.92=x
x=12.92

now we have:
64.6 is 12.92% of 500