What is 11.87 percent of 63.78 - 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 63.78 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 63.78 is 100%, so we can write it down as 63.78=100%.
4. We know, that x is 11.87% of the output value, so we can write it down as x=11.87%.
5. Now we have two simple equations:
1) 63.78=100%
2) x=11.87%
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:
63.78/x=100%/11.87%
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 11.87% of 63.78

63.78/x=100/11.87
(63.78/x)*x=(100/11.87)*x       - we multiply both sides of the equation by x
63.78=8.424599831508*x       - we divide both sides of the equation by (8.424599831508) to get x
63.78/8.424599831508=x
7.570686=x
x=7.570686

now we have:
11.87% of 63.78=7.570686