29.6 is what percent of 220.8 - 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 220.8 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 220.8, so we can write it down as 100%=220.8.
4. We know, that x% equals 29.6 of the output value, so we can write it down as x%=29.6.
5. Now we have two simple equations:
1) 100%=220.8
2) x%=29.6
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%=220.8/29.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.6 is what percent of 220.8

100%/x%=220.8/29.6
(100/x)*x=(220.8/29.6)*x       - we multiply both sides of the equation by x
100=7.4594594594595*x       - we divide both sides of the equation by (7.4594594594595) to get x
100/7.4594594594595=x
13.405797101449=x
x=13.405797101449

now we have:
29.6 is 13.405797101449% of 220.8