289.33 is what percent of 228.5 - 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 228.5 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 228.5, so we can write it down as 100%=228.5.
4. We know, that x% equals 289.33 of the output value, so we can write it down as x%=289.33.
5. Now we have two simple equations:
1) 100%=228.5
2) x%=289.33
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%=228.5/289.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 289.33 is what percent of 228.5

100%/x%=228.5/289.33
(100/x)*x=(228.5/289.33)*x       - we multiply both sides of the equation by x
100=0.78975564234611*x       - we divide both sides of the equation by (0.78975564234611) to get x
100/0.78975564234611=x
126.62144420131=x
x=126.62144420131

now we have:
289.33 is 126.62144420131% of 228.5