What is 22.25 percent of 40.05 - 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 40.05 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 40.05 is 100%, so we can write it down as 40.05=100%.
4. We know, that x is 22.25% of the output value, so we can write it down as x=22.25%.
5. Now we have two simple equations:
1) 40.05=100%
2) x=22.25%
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:
40.05/x=100%/22.25%
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 22.25% of 40.05

40.05/x=100/22.25
(40.05/x)*x=(100/22.25)*x       - we multiply both sides of the equation by x
40.05=4.4943820224719*x       - we divide both sides of the equation by (4.4943820224719) to get x
40.05/4.4943820224719=x
8.911125=x
x=8.911125

now we have:
22.25% of 40.05=8.911125