What is 40.04 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 40.04% of the output value, so we can write it down as x=40.04%.
5. Now we have two simple equations:
1) 22.75=100%
2) x=40.04%
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%/40.04%
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 40.04% of 22.75

22.75/x=100/40.04
(22.75/x)*x=(100/40.04)*x       - we multiply both sides of the equation by x
22.75=2.4975024975025*x       - we divide both sides of the equation by (2.4975024975025) to get x
22.75/2.4975024975025=x
9.1091=x
x=9.1091

now we have:
40.04% of 22.75=9.1091