What is 48.4 percent of 1100 - 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 1100 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 1100 is 100%, so we can write it down as 1100=100%.
4. We know, that x is 48.4% of the output value, so we can write it down as x=48.4%.
5. Now we have two simple equations:
1) 1100=100%
2) x=48.4%
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:
1100/x=100%/48.4%
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 48.4% of 1100

1100/x=100/48.4
(1100/x)*x=(100/48.4)*x       - we multiply both sides of the equation by x
1100=2.0661157024793*x       - we divide both sides of the equation by (2.0661157024793) to get x
1100/2.0661157024793=x
532.4=x
x=532.4

now we have:
48.4% of 1100=532.4