What is 55 percent of 8466 - 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 8466 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 8466 is 100%, so we can write it down as 8466=100%.
4. We know, that x is 55% of the output value, so we can write it down as x=55%.
5. Now we have two simple equations:
1) 8466=100%
2) x=55%
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:
8466/x=100%/55%
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 55% of 8466

8466/x=100/55
(8466/x)*x=(100/55)*x       - we multiply both sides of the equation by x
8466=1.8181818181818*x       - we divide both sides of the equation by (1.8181818181818) to get x
8466/1.8181818181818=x
4656.3=x
x=4656.3

now we have:
55% of 8466=4656.3