What is 42.3 percent of 5.3 - 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 5.3 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 5.3 is 100%, so we can write it down as 5.3=100%.
4. We know, that x is 42.3% of the output value, so we can write it down as x=42.3%.
5. Now we have two simple equations:
1) 5.3=100%
2) x=42.3%
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:
5.3/x=100%/42.3%
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 42.3% of 5.3

5.3/x=100/42.3
(5.3/x)*x=(100/42.3)*x       - we multiply both sides of the equation by x
5.3=2.3640661938534*x       - we divide both sides of the equation by (2.3640661938534) to get x
5.3/2.3640661938534=x
2.2419=x
x=2.2419

now we have:
42.3% of 5.3=2.2419