3.8 is what percent of 5.2 - 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 5.2 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 5.2, so we can write it down as 100%=5.2.
4. We know, that x% equals 3.8 of the output value, so we can write it down as x%=3.8.
5. Now we have two simple equations:
1) 100%=5.2
2) x%=3.8
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%=5.2/3.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.8 is what percent of 5.2

100%/x%=5.2/3.8
(100/x)*x=(5.2/3.8)*x       - we multiply both sides of the equation by x
100=1.3684210526316*x       - we divide both sides of the equation by (1.3684210526316) to get x
100/1.3684210526316=x
73.076923076923=x
x=73.076923076923

now we have:
3.8 is 73.076923076923% of 5.2