9.53 is what percent of 24.97 - 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 24.97 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 24.97, so we can write it down as 100%=24.97.
4. We know, that x% equals 9.53 of the output value, so we can write it down as x%=9.53.
5. Now we have two simple equations:
1) 100%=24.97
2) x%=9.53
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%=24.97/9.53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.53 is what percent of 24.97

100%/x%=24.97/9.53
(100/x)*x=(24.97/9.53)*x       - we multiply both sides of the equation by x
100=2.6201469045121*x       - we divide both sides of the equation by (2.6201469045121) to get x
100/2.6201469045121=x
38.16579895875=x
x=38.16579895875

now we have:
9.53 is 38.16579895875% of 24.97