What is 107.5 percent of 75.5 - 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 75.5 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 75.5 is 100%, so we can write it down as 75.5=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) 75.5=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:
75.5/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 75.5

75.5/x=100/107.5
(75.5/x)*x=(100/107.5)*x       - we multiply both sides of the equation by x
75.5=0.93023255813953*x       - we divide both sides of the equation by (0.93023255813953) to get x
75.5/0.93023255813953=x
81.1625=x
x=81.1625

now we have:
107.5% of 75.5=81.1625