471.39 is what percent of 1983.75 - 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 1983.75 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 1983.75, so we can write it down as 100%=1983.75.
4. We know, that x% equals 471.39 of the output value, so we can write it down as x%=471.39.
5. Now we have two simple equations:
1) 100%=1983.75
2) x%=471.39
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%=1983.75/471.39
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 471.39 is what percent of 1983.75

100%/x%=1983.75/471.39
(100/x)*x=(1983.75/471.39)*x       - we multiply both sides of the equation by x
100=4.2082988608159*x       - we divide both sides of the equation by (4.2082988608159) to get x
100/4.2082988608159=x
23.762570888469=x
x=23.762570888469

now we have:
471.39 is 23.762570888469% of 1983.75