2.24 is what percent of 5.24 - 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 5.24 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 5.24, so we can write it down as 100%=5.24.
4. We know, that x% equals 2.24 of the output value, so we can write it down as x%=2.24.
5. Now we have two simple equations:
1) 100%=5.24
2) x%=2.24
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%=5.24/2.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.24 is what percent of 5.24

100%/x%=5.24/2.24
(100/x)*x=(5.24/2.24)*x       - we multiply both sides of the equation by x
100=2.3392857142857*x       - we divide both sides of the equation by (2.3392857142857) to get x
100/2.3392857142857=x
42.748091603053=x
x=42.748091603053

now we have:
2.24 is 42.748091603053% of 5.24