What is 48.2 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 48.2% of the output value, so we can write it down as x=48.2%.
5. Now we have two simple equations:
1) 7.8=100%
2) x=48.2%
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:
7.8/x=100%/48.2%
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 48.2% of 7.8

7.8/x=100/48.2
(7.8/x)*x=(100/48.2)*x       - we multiply both sides of the equation by x
7.8=2.0746887966805*x       - we divide both sides of the equation by (2.0746887966805) to get x
7.8/2.0746887966805=x
3.7596=x
x=3.7596

now we have:
48.2% of 7.8=3.7596