What is 0.333333333 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 7.8 is 100%, so we can write it down as 7.8=100%.
4. We know, that x is 0.333333333% of the output value, so we can write it down as x=0.333333333%.
5. Now we have two simple equations:
1) 7.8=100%
2) x=0.333333333%
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:
7.8/x=100%/0.333333333%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 0.333333333% of 7.8

7.8/x=100/0.333333333
(7.8/x)*x=(100/0.333333333)*x       - we multiply both sides of the equation by x
7.8=300.0000003*x       - we divide both sides of the equation by (300.0000003) to get x
7.8/300.0000003=x
0.025999999974=x
x=0.025999999974

now we have:
0.333333333% of 7.8=0.025999999974