65.09 is what percent of 208.99 - 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 208.99 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 208.99, so we can write it down as 100%=208.99.
4. We know, that x% equals 65.09 of the output value, so we can write it down as x%=65.09.
5. Now we have two simple equations:
1) 100%=208.99
2) x%=65.09
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%=208.99/65.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 65.09 is what percent of 208.99

100%/x%=208.99/65.09
(100/x)*x=(208.99/65.09)*x       - we multiply both sides of the equation by x
100=3.2107850668305*x       - we divide both sides of the equation by (3.2107850668305) to get x
100/3.2107850668305=x
31.145030862721=x
x=31.145030862721

now we have:
65.09 is 31.145030862721% of 208.99