483.5 is what percent of 4228.5 - 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 4228.5 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 4228.5, so we can write it down as 100%=4228.5.
4. We know, that x% equals 483.5 of the output value, so we can write it down as x%=483.5.
5. Now we have two simple equations:
1) 100%=4228.5
2) x%=483.5
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%=4228.5/483.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 483.5 is what percent of 4228.5

100%/x%=4228.5/483.5
(100/x)*x=(4228.5/483.5)*x       - we multiply both sides of the equation by x
100=8.7456049638056*x       - we divide both sides of the equation by (8.7456049638056) to get x
100/8.7456049638056=x
11.434314768831=x
x=11.434314768831

now we have:
483.5 is 11.434314768831% of 4228.5