5.25 is what percent of 12.35 - 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 12.35 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 12.35, so we can write it down as 100%=12.35.
4. We know, that x% equals 5.25 of the output value, so we can write it down as x%=5.25.
5. Now we have two simple equations:
1) 100%=12.35
2) x%=5.25
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%=12.35/5.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.25 is what percent of 12.35

100%/x%=12.35/5.25
(100/x)*x=(12.35/5.25)*x       - we multiply both sides of the equation by x
100=2.352380952381*x       - we divide both sides of the equation by (2.352380952381) to get x
100/2.352380952381=x
42.51012145749=x
x=42.51012145749

now we have:
5.25 is 42.51012145749% of 12.35