What is 39.8 percent of 107.1 - 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 107.1 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 107.1 is 100%, so we can write it down as 107.1=100%.
4. We know, that x is 39.8% of the output value, so we can write it down as x=39.8%.
5. Now we have two simple equations:
1) 107.1=100%
2) x=39.8%
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:
107.1/x=100%/39.8%
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 39.8% of 107.1

107.1/x=100/39.8
(107.1/x)*x=(100/39.8)*x       - we multiply both sides of the equation by x
107.1=2.5125628140704*x       - we divide both sides of the equation by (2.5125628140704) to get x
107.1/2.5125628140704=x
42.6258=x
x=42.6258

now we have:
39.8% of 107.1=42.6258