What is 12.195 percent of 116 - 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 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 is 100%, so we can write it down as 116=100%.
4. We know, that x is 12.195% of the output value, so we can write it down as x=12.195%.
5. Now we have two simple equations:
1) 116=100%
2) x=12.195%
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/x=100%/12.195%
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 12.195% of 116

116/x=100/12.195
(116/x)*x=(100/12.195)*x       - we multiply both sides of the equation by x
116=8.20008200082*x       - we divide both sides of the equation by (8.20008200082) to get x
116/8.20008200082=x
14.1462=x
x=14.1462

now we have:
12.195% of 116=14.1462