45.52 is what percent of 252.96 - 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 252.96 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 252.96, so we can write it down as 100%=252.96.
4. We know, that x% equals 45.52 of the output value, so we can write it down as x%=45.52.
5. Now we have two simple equations:
1) 100%=252.96
2) x%=45.52
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%=252.96/45.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.52 is what percent of 252.96

100%/x%=252.96/45.52
(100/x)*x=(252.96/45.52)*x       - we multiply both sides of the equation by x
100=5.5571177504394*x       - we divide both sides of the equation by (5.5571177504394) to get x
100/5.5571177504394=x
17.994939911448=x
x=17.994939911448

now we have:
45.52 is 17.994939911448% of 252.96