What is 3.4 percent of 255.4 - 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 255.4 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 255.4 is 100%, so we can write it down as 255.4=100%.
4. We know, that x is 3.4% of the output value, so we can write it down as x=3.4%.
5. Now we have two simple equations:
1) 255.4=100%
2) x=3.4%
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:
255.4/x=100%/3.4%
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 3.4% of 255.4

255.4/x=100/3.4
(255.4/x)*x=(100/3.4)*x       - we multiply both sides of the equation by x
255.4=29.411764705882*x       - we divide both sides of the equation by (29.411764705882) to get x
255.4/29.411764705882=x
8.6836=x
x=8.6836

now we have:
3.4% of 255.4=8.6836