What is 2.5 percent of 122.5 - 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 122.5 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 122.5 is 100%, so we can write it down as 122.5=100%.
4. We know, that x is 2.5% of the output value, so we can write it down as x=2.5%.
5. Now we have two simple equations:
1) 122.5=100%
2) x=2.5%
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:
122.5/x=100%/2.5%
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 2.5% of 122.5

122.5/x=100/2.5
(122.5/x)*x=(100/2.5)*x       - we multiply both sides of the equation by x
122.5=40*x       - we divide both sides of the equation by (40) to get x
122.5/40=x
3.0625=x
x=3.0625

now we have:
2.5% of 122.5=3.0625