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

4/x=100/199.9
(4/x)*x=(100/199.9)*x       - we multiply both sides of the equation by x
4=0.50025012506253*x       - we divide both sides of the equation by (0.50025012506253) to get x
4/0.50025012506253=x
7.996=x
x=7.996

now we have:
199.9% of 4=7.996