What is 10.84 percent of 2584 - 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 2584 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 2584 is 100%, so we can write it down as 2584=100%.
4. We know, that x is 10.84% of the output value, so we can write it down as x=10.84%.
5. Now we have two simple equations:
1) 2584=100%
2) x=10.84%
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:
2584/x=100%/10.84%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 10.84% of 2584

2584/x=100/10.84
(2584/x)*x=(100/10.84)*x       - we multiply both sides of the equation by x
2584=9.2250922509225*x       - we divide both sides of the equation by (9.2250922509225) to get x
2584/9.2250922509225=x
280.1056=x
x=280.1056

now we have:
10.84% of 2584=280.1056