225.5 is what percent of 232.5 - 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 232.5 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 232.5, so we can write it down as 100%=232.5.
4. We know, that x% equals 225.5 of the output value, so we can write it down as x%=225.5.
5. Now we have two simple equations:
1) 100%=232.5
2) x%=225.5
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%=232.5/225.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 225.5 is what percent of 232.5

100%/x%=232.5/225.5
(100/x)*x=(232.5/225.5)*x       - we multiply both sides of the equation by x
100=1.0310421286031*x       - we divide both sides of the equation by (1.0310421286031) to get x
100/1.0310421286031=x
96.989247311828=x
x=96.989247311828

now we have:
225.5 is 96.989247311828% of 232.5