23.97 is what percent of 61.6 - 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 61.6 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 61.6, so we can write it down as 100%=61.6.
4. We know, that x% equals 23.97 of the output value, so we can write it down as x%=23.97.
5. Now we have two simple equations:
1) 100%=61.6
2) x%=23.97
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%=61.6/23.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 23.97 is what percent of 61.6

100%/x%=61.6/23.97
(100/x)*x=(61.6/23.97)*x       - we multiply both sides of the equation by x
100=2.569879015436*x       - we divide both sides of the equation by (2.569879015436) to get x
100/2.569879015436=x
38.912337662338=x
x=38.912337662338

now we have:
23.97 is 38.912337662338% of 61.6