What is 23.8 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 23.8% of the output value, so we can write it down as x=23.8%.
5. Now we have two simple equations:
1) 23.75=100%
2) x=23.8%
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%/23.8%
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 23.8% of 23.75

23.75/x=100/23.8
(23.75/x)*x=(100/23.8)*x       - we multiply both sides of the equation by x
23.75=4.2016806722689*x       - we divide both sides of the equation by (4.2016806722689) to get x
23.75/4.2016806722689=x
5.6525=x
x=5.6525

now we have:
23.8% of 23.75=5.6525