229.58 is what percent of 399.35 - 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 399.35 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 399.35, so we can write it down as 100%=399.35.
4. We know, that x% equals 229.58 of the output value, so we can write it down as x%=229.58.
5. Now we have two simple equations:
1) 100%=399.35
2) x%=229.58
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%=399.35/229.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 229.58 is what percent of 399.35

100%/x%=399.35/229.58
(100/x)*x=(399.35/229.58)*x       - we multiply both sides of the equation by x
100=1.7394807910097*x       - we divide both sides of the equation by (1.7394807910097) to get x
100/1.7394807910097=x
57.488418680356=x
x=57.488418680356

now we have:
229.58 is 57.488418680356% of 399.35