165.65 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 165.65 of the output value, so we can write it down as x%=165.65.
5. Now we have two simple equations:
1) 100%=500
2) x%=165.65
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%=500/165.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 165.65 is what percent of 500

100%/x%=500/165.65
(100/x)*x=(500/165.65)*x       - we multiply both sides of the equation by x
100=3.0184123151222*x       - we divide both sides of the equation by (3.0184123151222) to get x
100/3.0184123151222=x
33.13=x
x=33.13

now we have:
165.65 is 33.13% of 500