323.51 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 323.51 of the output value, so we can write it down as x%=323.51.
5. Now we have two simple equations:
1) 100%=500
2) x%=323.51
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%=500/323.51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 323.51 is what percent of 500

100%/x%=500/323.51
(100/x)*x=(500/323.51)*x       - we multiply both sides of the equation by x
100=1.5455472782912*x       - we divide both sides of the equation by (1.5455472782912) to get x
100/1.5455472782912=x
64.702=x
x=64.702

now we have:
323.51 is 64.702% of 500