What is 1.08 percent of 23.75 - 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 23.75 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 23.75 is 100%, so we can write it down as 23.75=100%.
4. We know, that x is 1.08% of the output value, so we can write it down as x=1.08%.
5. Now we have two simple equations:
1) 23.75=100%
2) x=1.08%
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:
23.75/x=100%/1.08%
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 1.08% of 23.75

23.75/x=100/1.08
(23.75/x)*x=(100/1.08)*x       - we multiply both sides of the equation by x
23.75=92.592592592593*x       - we divide both sides of the equation by (92.592592592593) to get x
23.75/92.592592592593=x
0.2565=x
x=0.2565

now we have:
1.08% of 23.75=0.2565