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

98.4/x=100/7.83
(98.4/x)*x=(100/7.83)*x       - we multiply both sides of the equation by x
98.4=12.771392081737*x       - we divide both sides of the equation by (12.771392081737) to get x
98.4/12.771392081737=x
7.70472=x
x=7.70472

now we have:
7.83% of 98.4=7.70472