205.2 is what percent of 240 - 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 240 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 240, so we can write it down as 100%=240.
4. We know, that x% equals 205.2 of the output value, so we can write it down as x%=205.2.
5. Now we have two simple equations:
1) 100%=240
2) x%=205.2
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%=240/205.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 205.2 is what percent of 240

100%/x%=240/205.2
(100/x)*x=(240/205.2)*x       - we multiply both sides of the equation by x
100=1.1695906432749*x       - we divide both sides of the equation by (1.1695906432749) to get x
100/1.1695906432749=x
85.5=x
x=85.5

now we have:
205.2 is 85.5% of 240