What is 107.5 percent of 1084 - 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 1084 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 1084 is 100%, so we can write it down as 1084=100%.
4. We know, that x is 107.5% of the output value, so we can write it down as x=107.5%.
5. Now we have two simple equations:
1) 1084=100%
2) x=107.5%
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:
1084/x=100%/107.5%
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 107.5% of 1084

1084/x=100/107.5
(1084/x)*x=(100/107.5)*x       - we multiply both sides of the equation by x
1084=0.93023255813953*x       - we divide both sides of the equation by (0.93023255813953) to get x
1084/0.93023255813953=x
1165.3=x
x=1165.3

now we have:
107.5% of 1084=1165.3