24.99 is what percent of 46.09 - 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 46.09 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 46.09, so we can write it down as 100%=46.09.
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%=46.09
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%=46.09/24.99
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 46.09

100%/x%=46.09/24.99
(100/x)*x=(46.09/24.99)*x       - we multiply both sides of the equation by x
100=1.844337735094*x       - we divide both sides of the equation by (1.844337735094) to get x
100/1.844337735094=x
54.220004339336=x
x=54.220004339336

now we have:
24.99 is 54.220004339336% of 46.09