What is 99.8 percent of 12.4 - 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 12.4 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 12.4 is 100%, so we can write it down as 12.4=100%.
4. We know, that x is 99.8% of the output value, so we can write it down as x=99.8%.
5. Now we have two simple equations:
1) 12.4=100%
2) x=99.8%
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:
12.4/x=100%/99.8%
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 99.8% of 12.4

12.4/x=100/99.8
(12.4/x)*x=(100/99.8)*x       - we multiply both sides of the equation by x
12.4=1.002004008016*x       - we divide both sides of the equation by (1.002004008016) to get x
12.4/1.002004008016=x
12.3752=x
x=12.3752

now we have:
99.8% of 12.4=12.3752