33.56 is what percent of 438.75 - 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 438.75 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 438.75, so we can write it down as 100%=438.75.
4. We know, that x% equals 33.56 of the output value, so we can write it down as x%=33.56.
5. Now we have two simple equations:
1) 100%=438.75
2) x%=33.56
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%=438.75/33.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 33.56 is what percent of 438.75

100%/x%=438.75/33.56
(100/x)*x=(438.75/33.56)*x       - we multiply both sides of the equation by x
100=13.073599523242*x       - we divide both sides of the equation by (13.073599523242) to get x
100/13.073599523242=x
7.6490028490028=x
x=7.6490028490028

now we have:
33.56 is 7.6490028490028% of 438.75