878.09 is what percent of 3233.25 - 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 3233.25 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 3233.25, so we can write it down as 100%=3233.25.
4. We know, that x% equals 878.09 of the output value, so we can write it down as x%=878.09.
5. Now we have two simple equations:
1) 100%=3233.25
2) x%=878.09
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%=3233.25/878.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 878.09 is what percent of 3233.25

100%/x%=3233.25/878.09
(100/x)*x=(3233.25/878.09)*x       - we multiply both sides of the equation by x
100=3.682139644*x       - we divide both sides of the equation by (3.682139644) to get x
100/3.682139644=x
27.158122632027=x
x=27.158122632027

now we have:
878.09 is 27.158122632027% of 3233.25