What is 5.38 percent of 199 - 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 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 is 100%, so we can write it down as 199=100%.
4. We know, that x is 5.38% of the output value, so we can write it down as x=5.38%.
5. Now we have two simple equations:
1) 199=100%
2) x=5.38%
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/x=100%/5.38%
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 5.38% of 199

199/x=100/5.38
(199/x)*x=(100/5.38)*x       - we multiply both sides of the equation by x
199=18.587360594796*x       - we divide both sides of the equation by (18.587360594796) to get x
199/18.587360594796=x
10.7062=x
x=10.7062

now we have:
5.38% of 199=10.7062