What is 2.3 percent of 255.75 - 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 255.75 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 255.75 is 100%, so we can write it down as 255.75=100%.
4. We know, that x is 2.3% of the output value, so we can write it down as x=2.3%.
5. Now we have two simple equations:
1) 255.75=100%
2) x=2.3%
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:
255.75/x=100%/2.3%
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 2.3% of 255.75

255.75/x=100/2.3
(255.75/x)*x=(100/2.3)*x       - we multiply both sides of the equation by x
255.75=43.478260869565*x       - we divide both sides of the equation by (43.478260869565) to get x
255.75/43.478260869565=x
5.88225=x
x=5.88225

now we have:
2.3% of 255.75=5.88225