What is 98.4 percent of 7.83 - 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 7.83 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 7.83 is 100%, so we can write it down as 7.83=100%.
4. We know, that x is 98.4% of the output value, so we can write it down as x=98.4%.
5. Now we have two simple equations:
1) 7.83=100%
2) x=98.4%
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:
7.83/x=100%/98.4%
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 98.4% of 7.83

7.83/x=100/98.4
(7.83/x)*x=(100/98.4)*x       - we multiply both sides of the equation by x
7.83=1.0162601626*x       - we divide both sides of the equation by (1.0162601626) to get x
7.83/1.0162601626=x
7.70472=x
x=7.70472

now we have:
98.4% of 7.83=7.70472