What is 15.875 percent of 65.125 - 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 65.125 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 65.125 is 100%, so we can write it down as 65.125=100%.
4. We know, that x is 15.875% of the output value, so we can write it down as x=15.875%.
5. Now we have two simple equations:
1) 65.125=100%
2) x=15.875%
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:
65.125/x=100%/15.875%
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 15.875% of 65.125

65.125/x=100/15.875
(65.125/x)*x=(100/15.875)*x       - we multiply both sides of the equation by x
65.125=6.2992125984252*x       - we divide both sides of the equation by (6.2992125984252) to get x
65.125/6.2992125984252=x
10.33859375=x
x=10.33859375

now we have:
15.875% of 65.125=10.33859375