55.8 is what percent of 159.6 - 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 159.6 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 159.6, so we can write it down as 100%=159.6.
4. We know, that x% equals 55.8 of the output value, so we can write it down as x%=55.8.
5. Now we have two simple equations:
1) 100%=159.6
2) x%=55.8
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%=159.6/55.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55.8 is what percent of 159.6

100%/x%=159.6/55.8
(100/x)*x=(159.6/55.8)*x       - we multiply both sides of the equation by x
100=2.8602150537634*x       - we divide both sides of the equation by (2.8602150537634) to get x
100/2.8602150537634=x
34.962406015038=x
x=34.962406015038

now we have:
55.8 is 34.962406015038% of 159.6