What is 86.4864864865 percent of 16 - 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 16 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 16 is 100%, so we can write it down as 16=100%.
4. We know, that x is 86.4864864865% of the output value, so we can write it down as x=86.4864864865%.
5. Now we have two simple equations:
1) 16=100%
2) x=86.4864864865%
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:
16/x=100%/86.4864864865%
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 86.4864864865% of 16

16/x=100/86.4864864865
(16/x)*x=(100/86.4864864865)*x       - we multiply both sides of the equation by x
16=1.1562499999998*x       - we divide both sides of the equation by (1.1562499999998) to get x
16/1.1562499999998=x
13.83783783784=x
x=13.83783783784

now we have:
86.4864864865% of 16=13.83783783784