What is 4 percent of 199.9 - 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 199.9 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 199.9 is 100%, so we can write it down as 199.9=100%.
4. We know, that x is 4% of the output value, so we can write it down as x=4%.
5. Now we have two simple equations:
1) 199.9=100%
2) x=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:
199.9/x=100%/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 4% of 199.9

199.9/x=100/4
(199.9/x)*x=(100/4)*x       - we multiply both sides of the equation by x
199.9=25*x       - we divide both sides of the equation by (25) to get x
199.9/25=x
7.996=x
x=7.996

now we have:
4% of 199.9=7.996