336.82 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 336.82 of the output value, so we can write it down as x%=336.82.
5. Now we have two simple equations:
1) 100%=500
2) x%=336.82
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%=500/336.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 336.82 is what percent of 500

100%/x%=500/336.82
(100/x)*x=(500/336.82)*x       - we multiply both sides of the equation by x
100=1.4844724185025*x       - we divide both sides of the equation by (1.4844724185025) to get x
100/1.4844724185025=x
67.364=x
x=67.364

now we have:
336.82 is 67.364% of 500