What is 14.92 percent of 105.13 - 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 105.13 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 105.13 is 100%, so we can write it down as 105.13=100%.
4. We know, that x is 14.92% of the output value, so we can write it down as x=14.92%.
5. Now we have two simple equations:
1) 105.13=100%
2) x=14.92%
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:
105.13/x=100%/14.92%
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 14.92% of 105.13

105.13/x=100/14.92
(105.13/x)*x=(100/14.92)*x       - we multiply both sides of the equation by x
105.13=6.7024128686327*x       - we divide both sides of the equation by (6.7024128686327) to get x
105.13/6.7024128686327=x
15.685396=x
x=15.685396

now we have:
14.92% of 105.13=15.685396