What is 12.45 percent of 22.75 - 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 22.75 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 22.75 is 100%, so we can write it down as 22.75=100%.
4. We know, that x is 12.45% of the output value, so we can write it down as x=12.45%.
5. Now we have two simple equations:
1) 22.75=100%
2) x=12.45%
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:
22.75/x=100%/12.45%
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 12.45% of 22.75

22.75/x=100/12.45
(22.75/x)*x=(100/12.45)*x       - we multiply both sides of the equation by x
22.75=8.0321285140562*x       - we divide both sides of the equation by (8.0321285140562) to get x
22.75/8.0321285140562=x
2.832375=x
x=2.832375

now we have:
12.45% of 22.75=2.832375