250.7 is what percent of 480.83 - 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 480.83 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 480.83, so we can write it down as 100%=480.83.
4. We know, that x% equals 250.7 of the output value, so we can write it down as x%=250.7.
5. Now we have two simple equations:
1) 100%=480.83
2) x%=250.7
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%=480.83/250.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 250.7 is what percent of 480.83

100%/x%=480.83/250.7
(100/x)*x=(480.83/250.7)*x       - we multiply both sides of the equation by x
100=1.917949740726*x       - we divide both sides of the equation by (1.917949740726) to get x
100/1.917949740726=x
52.139009629183=x
x=52.139009629183

now we have:
250.7 is 52.139009629183% of 480.83