228.45 is what percent of 786.4 - 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 786.4 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 786.4, so we can write it down as 100%=786.4.
4. We know, that x% equals 228.45 of the output value, so we can write it down as x%=228.45.
5. Now we have two simple equations:
1) 100%=786.4
2) x%=228.45
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%=786.4/228.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 228.45 is what percent of 786.4

100%/x%=786.4/228.45
(100/x)*x=(786.4/228.45)*x       - we multiply both sides of the equation by x
100=3.4423287371416*x       - we divide both sides of the equation by (3.4423287371416) to get x
100/3.4423287371416=x
29.0501017294=x
x=29.0501017294

now we have:
228.45 is 29.0501017294% of 786.4