24.99 is what percent of 42.48 - 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 42.48 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 42.48, so we can write it down as 100%=42.48.
4. We know, that x% equals 24.99 of the output value, so we can write it down as x%=24.99.
5. Now we have two simple equations:
1) 100%=42.48
2) x%=24.99
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%=42.48/24.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24.99 is what percent of 42.48

100%/x%=42.48/24.99
(100/x)*x=(42.48/24.99)*x       - we multiply both sides of the equation by x
100=1.6998799519808*x       - we divide both sides of the equation by (1.6998799519808) to get x
100/1.6998799519808=x
58.827683615819=x
x=58.827683615819

now we have:
24.99 is 58.827683615819% of 42.48