What is 2 percent of 2007.5 - 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 2007.5 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 2007.5 is 100%, so we can write it down as 2007.5=100%.
4. We know, that x is 2% of the output value, so we can write it down as x=2%.
5. Now we have two simple equations:
1) 2007.5=100%
2) x=2%
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:
2007.5/x=100%/2%
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 2% of 2007.5

2007.5/x=100/2
(2007.5/x)*x=(100/2)*x       - we multiply both sides of the equation by x
2007.5=50*x       - we divide both sides of the equation by (50) to get x
2007.5/50=x
40.15=x
x=40.15

now we have:
2% of 2007.5=40.15