29.1 is what percent of 205.8 - 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 205.8 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 205.8, so we can write it down as 100%=205.8.
4. We know, that x% equals 29.1 of the output value, so we can write it down as x%=29.1.
5. Now we have two simple equations:
1) 100%=205.8
2) x%=29.1
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%=205.8/29.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.1 is what percent of 205.8

100%/x%=205.8/29.1
(100/x)*x=(205.8/29.1)*x       - we multiply both sides of the equation by x
100=7.0721649484536*x       - we divide both sides of the equation by (7.0721649484536) to get x
100/7.0721649484536=x
14.139941690962=x
x=14.139941690962

now we have:
29.1 is 14.139941690962% of 205.8