41.65 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 41.65 of the output value, so we can write it down as x%=41.65.
5. Now we have two simple equations:
1) 100%=500
2) x%=41.65
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%=500/41.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 41.65 is what percent of 500

100%/x%=500/41.65
(100/x)*x=(500/41.65)*x       - we multiply both sides of the equation by x
100=12.004801920768*x       - we divide both sides of the equation by (12.004801920768) to get x
100/12.004801920768=x
8.33=x
x=8.33

now we have:
41.65 is 8.33% of 500