What is 3.375 percent of 284534.37 - 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 284534.37 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 284534.37 is 100%, so we can write it down as 284534.37=100%.
4. We know, that x is 3.375% of the output value, so we can write it down as x=3.375%.
5. Now we have two simple equations:
1) 284534.37=100%
2) x=3.375%
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:
284534.37/x=100%/3.375%
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 3.375% of 284534.37

284534.37/x=100/3.375
(284534.37/x)*x=(100/3.375)*x       - we multiply both sides of the equation by x
284534.37=29.62962962963*x       - we divide both sides of the equation by (29.62962962963) to get x
284534.37/29.62962962963=x
9603.0349875=x
x=9603.0349875

now we have:
3.375% of 284534.37=9603.0349875