17.52 is what percent of 52.64 - 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 52.64 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 52.64, so we can write it down as 100%=52.64.
4. We know, that x% equals 17.52 of the output value, so we can write it down as x%=17.52.
5. Now we have two simple equations:
1) 100%=52.64
2) x%=17.52
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%=52.64/17.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.52 is what percent of 52.64

100%/x%=52.64/17.52
(100/x)*x=(52.64/17.52)*x       - we multiply both sides of the equation by x
100=3.0045662100457*x       - we divide both sides of the equation by (3.0045662100457) to get x
100/3.0045662100457=x
33.282674772036=x
x=33.282674772036

now we have:
17.52 is 33.282674772036% of 52.64