What is 4 percent of 116.4864 - 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 116.4864 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 116.4864 is 100%, so we can write it down as 116.4864=100%.
4. We know, that x is 4% of the output value, so we can write it down as x=4%.
5. Now we have two simple equations:
1) 116.4864=100%
2) x=4%
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:
116.4864/x=100%/4%
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 4% of 116.4864

116.4864/x=100/4
(116.4864/x)*x=(100/4)*x       - we multiply both sides of the equation by x
116.4864=25*x       - we divide both sides of the equation by (25) to get x
116.4864/25=x
4.659456=x
x=4.659456

now we have:
4% of 116.4864=4.659456