282.25 is what percent of 1844.5 - 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 1844.5 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 1844.5, so we can write it down as 100%=1844.5.
4. We know, that x% equals 282.25 of the output value, so we can write it down as x%=282.25.
5. Now we have two simple equations:
1) 100%=1844.5
2) x%=282.25
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%=1844.5/282.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 282.25 is what percent of 1844.5

100%/x%=1844.5/282.25
(100/x)*x=(1844.5/282.25)*x       - we multiply both sides of the equation by x
100=6.5349867139061*x       - we divide both sides of the equation by (6.5349867139061) to get x
100/6.5349867139061=x
15.302249932231=x
x=15.302249932231

now we have:
282.25 is 15.302249932231% of 1844.5