65.2 is what percent of 208.96 - 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 208.96 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 208.96, so we can write it down as 100%=208.96.
4. We know, that x% equals 65.2 of the output value, so we can write it down as x%=65.2.
5. Now we have two simple equations:
1) 100%=208.96
2) x%=65.2
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%=208.96/65.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 65.2 is what percent of 208.96

100%/x%=208.96/65.2
(100/x)*x=(208.96/65.2)*x       - we multiply both sides of the equation by x
100=3.2049079754601*x       - we divide both sides of the equation by (3.2049079754601) to get x
100/3.2049079754601=x
31.202143950995=x
x=31.202143950995

now we have:
65.2 is 31.202143950995% of 208.96