What is 99.8 percent of 100.6 - 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 100.6 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 100.6 is 100%, so we can write it down as 100.6=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) 100.6=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:
100.6/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 100.6

100.6/x=100/99.8
(100.6/x)*x=(100/99.8)*x       - we multiply both sides of the equation by x
100.6=1.002004008016*x       - we divide both sides of the equation by (1.002004008016) to get x
100.6/1.002004008016=x
100.3988=x
x=100.3988

now we have:
99.8% of 100.6=100.3988