What is 107.5 percent of 42944 - 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 42944 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 42944 is 100%, so we can write it down as 42944=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) 42944=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:
42944/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 42944

42944/x=100/107.5
(42944/x)*x=(100/107.5)*x       - we multiply both sides of the equation by x
42944=0.93023255813953*x       - we divide both sides of the equation by (0.93023255813953) to get x
42944/0.93023255813953=x
46164.8=x
x=46164.8

now we have:
107.5% of 42944=46164.8