112.8 is what percent of 230.25 - 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 230.25 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 230.25, so we can write it down as 100%=230.25.
4. We know, that x% equals 112.8 of the output value, so we can write it down as x%=112.8.
5. Now we have two simple equations:
1) 100%=230.25
2) x%=112.8
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%=230.25/112.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 112.8 is what percent of 230.25

100%/x%=230.25/112.8
(100/x)*x=(230.25/112.8)*x       - we multiply both sides of the equation by x
100=2.0412234042553*x       - we divide both sides of the equation by (2.0412234042553) to get x
100/2.0412234042553=x
48.990228013029=x
x=48.990228013029

now we have:
112.8 is 48.990228013029% of 230.25