3378.24 is what percent of 2982.5 - 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 2982.5 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 2982.5, so we can write it down as 100%=2982.5.
4. We know, that x% equals 3378.24 of the output value, so we can write it down as x%=3378.24.
5. Now we have two simple equations:
1) 100%=2982.5
2) x%=3378.24
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%=2982.5/3378.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3378.24 is what percent of 2982.5

100%/x%=2982.5/3378.24
(100/x)*x=(2982.5/3378.24)*x       - we multiply both sides of the equation by x
100=0.88285616178839*x       - we divide both sides of the equation by (0.88285616178839) to get x
100/0.88285616178839=x
113.26873428332=x
x=113.26873428332

now we have:
3378.24 is 113.26873428332% of 2982.5