What is 19.78 percent of 63.89 - 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 63.89 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 63.89 is 100%, so we can write it down as 63.89=100%.
4. We know, that x is 19.78% of the output value, so we can write it down as x=19.78%.
5. Now we have two simple equations:
1) 63.89=100%
2) x=19.78%
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:
63.89/x=100%/19.78%
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 19.78% of 63.89

63.89/x=100/19.78
(63.89/x)*x=(100/19.78)*x       - we multiply both sides of the equation by x
63.89=5.0556117290192*x       - we divide both sides of the equation by (5.0556117290192) to get x
63.89/5.0556117290192=x
12.637442=x
x=12.637442

now we have:
19.78% of 63.89=12.637442