165.6 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 165.6 of the output value, so we can write it down as x%=165.6.
5. Now we have two simple equations:
1) 100%=501
2) x%=165.6
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%=501/165.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 165.6 is what percent of 501

100%/x%=501/165.6
(100/x)*x=(501/165.6)*x       - we multiply both sides of the equation by x
100=3.0253623188406*x       - we divide both sides of the equation by (3.0253623188406) to get x
100/3.0253623188406=x
33.053892215569=x
x=33.053892215569

now we have:
165.6 is 33.053892215569% of 501