5.58 is what percent of 33.12 - 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 33.12 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 33.12, so we can write it down as 100%=33.12.
4. We know, that x% equals 5.58 of the output value, so we can write it down as x%=5.58.
5. Now we have two simple equations:
1) 100%=33.12
2) x%=5.58
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%=33.12/5.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.58 is what percent of 33.12

100%/x%=33.12/5.58
(100/x)*x=(33.12/5.58)*x       - we multiply both sides of the equation by x
100=5.9354838709677*x       - we divide both sides of the equation by (5.9354838709677) to get x
100/5.9354838709677=x
16.847826086957=x
x=16.847826086957

now we have:
5.58 is 16.847826086957% of 33.12