What is 8 percent of 11863.46742 - 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 11863.46742 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 11863.46742 is 100%, so we can write it down as 11863.46742=100%.
4. We know, that x is 8% of the output value, so we can write it down as x=8%.
5. Now we have two simple equations:
1) 11863.46742=100%
2) x=8%
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:
11863.46742/x=100%/8%
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 8% of 11863.46742

11863.46742/x=100/8
(11863.46742/x)*x=(100/8)*x       - we multiply both sides of the equation by x
11863.46742=12.5*x       - we divide both sides of the equation by (12.5) to get x
11863.46742/12.5=x
949.0773936=x
x=949.0773936

now we have:
8% of 11863.46742=949.0773936