What is 4.66 percent of 5500 - 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 5500 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 5500 is 100%, so we can write it down as 5500=100%.
4. We know, that x is 4.66% of the output value, so we can write it down as x=4.66%.
5. Now we have two simple equations:
1) 5500=100%
2) x=4.66%
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:
5500/x=100%/4.66%
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 4.66% of 5500

5500/x=100/4.66
(5500/x)*x=(100/4.66)*x       - we multiply both sides of the equation by x
5500=21.4592274678*x       - we divide both sides of the equation by (21.4592274678) to get x
5500/21.4592274678=x
256.3=x
x=256.3

now we have:
4.66% of 5500=256.3