396.33 is what percent of 2527.36 - 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 2527.36 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 2527.36, so we can write it down as 100%=2527.36.
4. We know, that x% equals 396.33 of the output value, so we can write it down as x%=396.33.
5. Now we have two simple equations:
1) 100%=2527.36
2) x%=396.33
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%=2527.36/396.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 396.33 is what percent of 2527.36

100%/x%=2527.36/396.33
(100/x)*x=(2527.36/396.33)*x       - we multiply both sides of the equation by x
100=6.3769081321121*x       - we divide both sides of the equation by (6.3769081321121) to get x
100/6.3769081321121=x
15.681580779944=x
x=15.681580779944

now we have:
396.33 is 15.681580779944% of 2527.36