32.41 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 32.41 of the output value, so we can write it down as x%=32.41.
5. Now we have two simple equations:
1) 100%=500
2) x%=32.41
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%=500/32.41
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32.41 is what percent of 500

100%/x%=500/32.41
(100/x)*x=(500/32.41)*x       - we multiply both sides of the equation by x
100=15.427337241592*x       - we divide both sides of the equation by (15.427337241592) to get x
100/15.427337241592=x
6.482=x
x=6.482

now we have:
32.41 is 6.482% of 500