228.66 is what percent of 398.9 - 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 398.9 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 398.9, so we can write it down as 100%=398.9.
4. We know, that x% equals 228.66 of the output value, so we can write it down as x%=228.66.
5. Now we have two simple equations:
1) 100%=398.9
2) x%=228.66
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%=398.9/228.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 228.66 is what percent of 398.9

100%/x%=398.9/228.66
(100/x)*x=(398.9/228.66)*x       - we multiply both sides of the equation by x
100=1.7445115017931*x       - we divide both sides of the equation by (1.7445115017931) to get x
100/1.7445115017931=x
57.322637252444=x
x=57.322637252444

now we have:
228.66 is 57.322637252444% of 398.9