What is 22.3 percent of 52.304 - 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 52.304 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 52.304 is 100%, so we can write it down as 52.304=100%.
4. We know, that x is 22.3% of the output value, so we can write it down as x=22.3%.
5. Now we have two simple equations:
1) 52.304=100%
2) x=22.3%
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:
52.304/x=100%/22.3%
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 22.3% of 52.304

52.304/x=100/22.3
(52.304/x)*x=(100/22.3)*x       - we multiply both sides of the equation by x
52.304=4.4843049327354*x       - we divide both sides of the equation by (4.4843049327354) to get x
52.304/4.4843049327354=x
11.663792=x
x=11.663792

now we have:
22.3% of 52.304=11.663792