What is 19.9 percent of 30.78 - 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 30.78 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 30.78 is 100%, so we can write it down as 30.78=100%.
4. We know, that x is 19.9% of the output value, so we can write it down as x=19.9%.
5. Now we have two simple equations:
1) 30.78=100%
2) x=19.9%
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:
30.78/x=100%/19.9%
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 19.9% of 30.78

30.78/x=100/19.9
(30.78/x)*x=(100/19.9)*x       - we multiply both sides of the equation by x
30.78=5.0251256281407*x       - we divide both sides of the equation by (5.0251256281407) to get x
30.78/5.0251256281407=x
6.12522=x
x=6.12522

now we have:
19.9% of 30.78=6.12522