What is 2.344 percent of 199.24 - 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 199.24 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 199.24 is 100%, so we can write it down as 199.24=100%.
4. We know, that x is 2.344% of the output value, so we can write it down as x=2.344%.
5. Now we have two simple equations:
1) 199.24=100%
2) x=2.344%
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:
199.24/x=100%/2.344%
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 2.344% of 199.24

199.24/x=100/2.344
(199.24/x)*x=(100/2.344)*x       - we multiply both sides of the equation by x
199.24=42.662116040956*x       - we divide both sides of the equation by (42.662116040956) to get x
199.24/42.662116040956=x
4.6701856=x
x=4.6701856

now we have:
2.344% of 199.24=4.6701856