165.18 is what percent of 501 - 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 501 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 501, so we can write it down as 100%=501.
4. We know, that x% equals 165.18 of the output value, so we can write it down as x%=165.18.
5. Now we have two simple equations:
1) 100%=501
2) x%=165.18
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%=501/165.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 165.18 is what percent of 501

100%/x%=501/165.18
(100/x)*x=(501/165.18)*x       - we multiply both sides of the equation by x
100=3.0330548492554*x       - we divide both sides of the equation by (3.0330548492554) to get x
100/3.0330548492554=x
32.97005988024=x
x=32.97005988024

now we have:
165.18 is 32.97005988024% of 501