27.8 is what percent of 240.2 - 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 240.2 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 240.2, so we can write it down as 100%=240.2.
4. We know, that x% equals 27.8 of the output value, so we can write it down as x%=27.8.
5. Now we have two simple equations:
1) 100%=240.2
2) x%=27.8
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%=240.2/27.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 27.8 is what percent of 240.2

100%/x%=240.2/27.8
(100/x)*x=(240.2/27.8)*x       - we multiply both sides of the equation by x
100=8.6402877697842*x       - we divide both sides of the equation by (8.6402877697842) to get x
100/8.6402877697842=x
11.573688592839=x
x=11.573688592839

now we have:
27.8 is 11.573688592839% of 240.2