What is 39.7 percent of 20.48 - 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 20.48 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 20.48 is 100%, so we can write it down as 20.48=100%.
4. We know, that x is 39.7% of the output value, so we can write it down as x=39.7%.
5. Now we have two simple equations:
1) 20.48=100%
2) x=39.7%
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:
20.48/x=100%/39.7%
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 39.7% of 20.48

20.48/x=100/39.7
(20.48/x)*x=(100/39.7)*x       - we multiply both sides of the equation by x
20.48=2.5188916876574*x       - we divide both sides of the equation by (2.5188916876574) to get x
20.48/2.5188916876574=x
8.13056=x
x=8.13056

now we have:
39.7% of 20.48=8.13056