0.2 is what percent of 7.8 - 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 7.8 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 7.8, so we can write it down as 100%=7.8.
4. We know, that x% equals 0.2 of the output value, so we can write it down as x%=0.2.
5. Now we have two simple equations:
1) 100%=7.8
2) x%=0.2
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%=7.8/0.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.2 is what percent of 7.8

100%/x%=7.8/0.2
(100/x)*x=(7.8/0.2)*x       - we multiply both sides of the equation by x
100=39*x       - we divide both sides of the equation by (39) to get x
100/39=x
2.5641025641026=x
x=2.5641025641026

now we have:
0.2 is 2.5641025641026% of 7.8