40.32 is what percent of 452.5 - 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 452.5 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 452.5, so we can write it down as 100%=452.5.
4. We know, that x% equals 40.32 of the output value, so we can write it down as x%=40.32.
5. Now we have two simple equations:
1) 100%=452.5
2) x%=40.32
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%=452.5/40.32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.32 is what percent of 452.5

100%/x%=452.5/40.32
(100/x)*x=(452.5/40.32)*x       - we multiply both sides of the equation by x
100=11.222718253968*x       - we divide both sides of the equation by (11.222718253968) to get x
100/11.222718253968=x
8.9104972375691=x
x=8.9104972375691

now we have:
40.32 is 8.9104972375691% of 452.5