What is 3.1 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 3.1% of the output value, so we can write it down as x=3.1%.
5. Now we have two simple equations:
1) 199.9=100%
2) x=3.1%
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%/3.1%
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 3.1% of 199.9

199.9/x=100/3.1
(199.9/x)*x=(100/3.1)*x       - we multiply both sides of the equation by x
199.9=32.258064516129*x       - we divide both sides of the equation by (32.258064516129) to get x
199.9/32.258064516129=x
6.1969=x
x=6.1969

now we have:
3.1% of 199.9=6.1969