What is 22.56 percent of 468.75 - 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 468.75 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 468.75 is 100%, so we can write it down as 468.75=100%.
4. We know, that x is 22.56% of the output value, so we can write it down as x=22.56%.
5. Now we have two simple equations:
1) 468.75=100%
2) x=22.56%
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:
468.75/x=100%/22.56%
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 22.56% of 468.75

468.75/x=100/22.56
(468.75/x)*x=(100/22.56)*x       - we multiply both sides of the equation by x
468.75=4.4326241134752*x       - we divide both sides of the equation by (4.4326241134752) to get x
468.75/4.4326241134752=x
105.75=x
x=105.75

now we have:
22.56% of 468.75=105.75