3.8 is what percent of 55.4 - 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 55.4 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 55.4, so we can write it down as 100%=55.4.
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%=55.4
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%=55.4/3.8
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 55.4

100%/x%=55.4/3.8
(100/x)*x=(55.4/3.8)*x       - we multiply both sides of the equation by x
100=14.578947368421*x       - we divide both sides of the equation by (14.578947368421) to get x
100/14.578947368421=x
6.8592057761733=x
x=6.8592057761733

now we have:
3.8 is 6.8592057761733% of 55.4