485.78 is what percent of 2352.38 - 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 2352.38 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 2352.38, so we can write it down as 100%=2352.38.
4. We know, that x% equals 485.78 of the output value, so we can write it down as x%=485.78.
5. Now we have two simple equations:
1) 100%=2352.38
2) x%=485.78
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%=2352.38/485.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 485.78 is what percent of 2352.38

100%/x%=2352.38/485.78
(100/x)*x=(2352.38/485.78)*x       - we multiply both sides of the equation by x
100=4.8424801350406*x       - we divide both sides of the equation by (4.8424801350406) to get x
100/4.8424801350406=x
20.650575162176=x
x=20.650575162176

now we have:
485.78 is 20.650575162176% of 2352.38