What is 107.5 percent of 5200 - 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 5200 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 5200 is 100%, so we can write it down as 5200=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) 5200=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:
5200/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 5200

5200/x=100/107.5
(5200/x)*x=(100/107.5)*x       - we multiply both sides of the equation by x
5200=0.93023255813953*x       - we divide both sides of the equation by (0.93023255813953) to get x
5200/0.93023255813953=x
5590=x
x=5590

now we have:
107.5% of 5200=5590