What is 24.875 percent of 10.625 - 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 10.625 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 10.625 is 100%, so we can write it down as 10.625=100%.
4. We know, that x is 24.875% of the output value, so we can write it down as x=24.875%.
5. Now we have two simple equations:
1) 10.625=100%
2) x=24.875%
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:
10.625/x=100%/24.875%
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 24.875% of 10.625

10.625/x=100/24.875
(10.625/x)*x=(100/24.875)*x       - we multiply both sides of the equation by x
10.625=4.0201005025126*x       - we divide both sides of the equation by (4.0201005025126) to get x
10.625/4.0201005025126=x
2.64296875=x
x=2.64296875

now we have:
24.875% of 10.625=2.64296875