What is 3.375 percent of 285906.27 - 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 285906.27 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 285906.27 is 100%, so we can write it down as 285906.27=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) 285906.27=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:
285906.27/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 285906.27

285906.27/x=100/3.375
(285906.27/x)*x=(100/3.375)*x       - we multiply both sides of the equation by x
285906.27=29.62962962963*x       - we divide both sides of the equation by (29.62962962963) to get x
285906.27/29.62962962963=x
9649.3366125=x
x=9649.3366125

now we have:
3.375% of 285906.27=9649.3366125