22.4 is what percent of 52.3 - 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 52.3 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 100% equals 52.3, so we can write it down as 100%=52.3.
4. We know, that x% equals 22.4 of the output value, so we can write it down as x%=22.4.
5. Now we have two simple equations:
1) 100%=52.3
2) x%=22.4
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:
100%/x%=52.3/22.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 22.4 is what percent of 52.3

100%/x%=52.3/22.4
(100/x)*x=(52.3/22.4)*x       - we multiply both sides of the equation by x
100=2.3348214285714*x       - we divide both sides of the equation by (2.3348214285714) to get x
100/2.3348214285714=x
42.82982791587=x
x=42.82982791587

now we have:
22.4 is 42.82982791587% of 52.3