What is 4.125 percent of 117.827 - 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 117.827 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 117.827 is 100%, so we can write it down as 117.827=100%.
4. We know, that x is 4.125% of the output value, so we can write it down as x=4.125%.
5. Now we have two simple equations:
1) 117.827=100%
2) x=4.125%
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:
117.827/x=100%/4.125%
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 4.125% of 117.827

117.827/x=100/4.125
(117.827/x)*x=(100/4.125)*x       - we multiply both sides of the equation by x
117.827=24.242424242424*x       - we divide both sides of the equation by (24.242424242424) to get x
117.827/24.242424242424=x
4.86036375=x
x=4.86036375

now we have:
4.125% of 117.827=4.86036375