What is 3.8 percent of 198.7 - 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 198.7 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 198.7 is 100%, so we can write it down as 198.7=100%.
4. We know, that x is 3.8% of the output value, so we can write it down as x=3.8%.
5. Now we have two simple equations:
1) 198.7=100%
2) x=3.8%
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:
198.7/x=100%/3.8%
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 3.8% of 198.7

198.7/x=100/3.8
(198.7/x)*x=(100/3.8)*x       - we multiply both sides of the equation by x
198.7=26.315789473684*x       - we divide both sides of the equation by (26.315789473684) to get x
198.7/26.315789473684=x
7.5506=x
x=7.5506

now we have:
3.8% of 198.7=7.5506