47.74 is what percent of 23.25 - 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 23.25 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 23.25, so we can write it down as 100%=23.25.
4. We know, that x% equals 47.74 of the output value, so we can write it down as x%=47.74.
5. Now we have two simple equations:
1) 100%=23.25
2) x%=47.74
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%=23.25/47.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 47.74 is what percent of 23.25

100%/x%=23.25/47.74
(100/x)*x=(23.25/47.74)*x       - we multiply both sides of the equation by x
100=0.48701298701299*x       - we divide both sides of the equation by (0.48701298701299) to get x
100/0.48701298701299=x
205.33333333333=x
x=205.33333333333

now we have:
47.74 is 205.33333333333% of 23.25