96.49 is what percent of 228.06 - 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 228.06 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 228.06, so we can write it down as 100%=228.06.
4. We know, that x% equals 96.49 of the output value, so we can write it down as x%=96.49.
5. Now we have two simple equations:
1) 100%=228.06
2) x%=96.49
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%=228.06/96.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 96.49 is what percent of 228.06

100%/x%=228.06/96.49
(100/x)*x=(228.06/96.49)*x       - we multiply both sides of the equation by x
100=2.3635609907762*x       - we divide both sides of the equation by (2.3635609907762) to get x
100/2.3635609907762=x
42.309041480312=x
x=42.309041480312

now we have:
96.49 is 42.309041480312% of 228.06