What is 12.499998 percent of 2.416 - 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 2.416 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 2.416 is 100%, so we can write it down as 2.416=100%.
4. We know, that x is 12.499998% of the output value, so we can write it down as x=12.499998%.
5. Now we have two simple equations:
1) 2.416=100%
2) x=12.499998%
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:
2.416/x=100%/12.499998%
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 12.499998% of 2.416

2.416/x=100/12.499998
(2.416/x)*x=(100/12.499998)*x       - we multiply both sides of the equation by x
2.416=8.0000012800002*x       - we divide both sides of the equation by (8.0000012800002) to get x
2.416/8.0000012800002=x
0.30199995168=x
x=0.30199995168

now we have:
12.499998% of 2.416=0.30199995168