24.45 is what percent of 494.51 - 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 494.51 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 494.51, so we can write it down as 100%=494.51.
4. We know, that x% equals 24.45 of the output value, so we can write it down as x%=24.45.
5. Now we have two simple equations:
1) 100%=494.51
2) x%=24.45
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%=494.51/24.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24.45 is what percent of 494.51

100%/x%=494.51/24.45
(100/x)*x=(494.51/24.45)*x       - we multiply both sides of the equation by x
100=20.225357873211*x       - we divide both sides of the equation by (20.225357873211) to get x
100/20.225357873211=x
4.9442882853734=x
x=4.9442882853734

now we have:
24.45 is 4.9442882853734% of 494.51