175.6 is what percent of 558.4 - 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 558.4 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 558.4, so we can write it down as 100%=558.4.
4. We know, that x% equals 175.6 of the output value, so we can write it down as x%=175.6.
5. Now we have two simple equations:
1) 100%=558.4
2) x%=175.6
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%=558.4/175.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 175.6 is what percent of 558.4

100%/x%=558.4/175.6
(100/x)*x=(558.4/175.6)*x       - we multiply both sides of the equation by x
100=3.1799544419134*x       - we divide both sides of the equation by (3.1799544419134) to get x
100/3.1799544419134=x
31.446991404011=x
x=31.446991404011

now we have:
175.6 is 31.446991404011% of 558.4