What is 42.247 percent of 39.8 - 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 39.8 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 39.8 is 100%, so we can write it down as 39.8=100%.
4. We know, that x is 42.247% of the output value, so we can write it down as x=42.247%.
5. Now we have two simple equations:
1) 39.8=100%
2) x=42.247%
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:
39.8/x=100%/42.247%
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 42.247% of 39.8

39.8/x=100/42.247
(39.8/x)*x=(100/42.247)*x       - we multiply both sides of the equation by x
39.8=2.367031978602*x       - we divide both sides of the equation by (2.367031978602) to get x
39.8/2.367031978602=x
16.814306=x
x=16.814306

now we have:
42.247% of 39.8=16.814306