24.55 is what percent of 510.4 - 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 510.4 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 510.4, so we can write it down as 100%=510.4.
4. We know, that x% equals 24.55 of the output value, so we can write it down as x%=24.55.
5. Now we have two simple equations:
1) 100%=510.4
2) x%=24.55
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%=510.4/24.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24.55 is what percent of 510.4

100%/x%=510.4/24.55
(100/x)*x=(510.4/24.55)*x       - we multiply both sides of the equation by x
100=20.790224032587*x       - we divide both sides of the equation by (20.790224032587) to get x
100/20.790224032587=x
4.8099529780564=x
x=4.8099529780564

now we have:
24.55 is 4.8099529780564% of 510.4