What is 2.498 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 2.498% of the output value, so we can write it down as x=2.498%.
5. Now we have two simple equations:
1) 7.8=100%
2) x=2.498%
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%/2.498%
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 2.498% of 7.8

7.8/x=100/2.498
(7.8/x)*x=(100/2.498)*x       - we multiply both sides of the equation by x
7.8=40.032025620496*x       - we divide both sides of the equation by (40.032025620496) to get x
7.8/40.032025620496=x
0.194844=x
x=0.194844

now we have:
2.498% of 7.8=0.194844