What is 1.075 percent of 309.2 - 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 309.2 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 309.2 is 100%, so we can write it down as 309.2=100%.
4. We know, that x is 1.075% of the output value, so we can write it down as x=1.075%.
5. Now we have two simple equations:
1) 309.2=100%
2) x=1.075%
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:
309.2/x=100%/1.075%
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 1.075% of 309.2

309.2/x=100/1.075
(309.2/x)*x=(100/1.075)*x       - we multiply both sides of the equation by x
309.2=93.023255813953*x       - we divide both sides of the equation by (93.023255813953) to get x
309.2/93.023255813953=x
3.3239=x
x=3.3239

now we have:
1.075% of 309.2=3.3239