24.53 is what percent of 19.24 - 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 19.24 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 19.24, so we can write it down as 100%=19.24.
4. We know, that x% equals 24.53 of the output value, so we can write it down as x%=24.53.
5. Now we have two simple equations:
1) 100%=19.24
2) x%=24.53
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%=19.24/24.53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24.53 is what percent of 19.24

100%/x%=19.24/24.53
(100/x)*x=(19.24/24.53)*x       - we multiply both sides of the equation by x
100=0.78434569914391*x       - we divide both sides of the equation by (0.78434569914391) to get x
100/0.78434569914391=x
127.4948024948=x
x=127.4948024948

now we have:
24.53 is 127.4948024948% of 19.24