24.64 is what percent of 30.54 - 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 30.54 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 30.54, so we can write it down as 100%=30.54.
4. We know, that x% equals 24.64 of the output value, so we can write it down as x%=24.64.
5. Now we have two simple equations:
1) 100%=30.54
2) x%=24.64
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%=30.54/24.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24.64 is what percent of 30.54

100%/x%=30.54/24.64
(100/x)*x=(30.54/24.64)*x       - we multiply both sides of the equation by x
100=1.2394480519481*x       - we divide both sides of the equation by (1.2394480519481) to get x
100/1.2394480519481=x
80.68107400131=x
x=80.68107400131

now we have:
24.64 is 80.68107400131% of 30.54