23.25 is what percent of 38 - 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 38 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 100% equals 38, so we can write it down as 100%=38.
4. We know, that x% equals 23.25 of the output value, so we can write it down as x%=23.25.
5. Now we have two simple equations:
1) 100%=38
2) x%=23.25
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:
100%/x%=38/23.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 23.25 is what percent of 38

100%/x%=38/23.25
(100/x)*x=(38/23.25)*x       - we multiply both sides of the equation by x
100=1.6344086021505*x       - we divide both sides of the equation by (1.6344086021505) to get x
100/1.6344086021505=x
61.184210526316=x
x=61.184210526316

now we have:
23.25 is 61.184210526316% of 38