What is 52.1 percent of 3.8 - 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 3.8 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 3.8 is 100%, so we can write it down as 3.8=100%.
4. We know, that x is 52.1% of the output value, so we can write it down as x=52.1%.
5. Now we have two simple equations:
1) 3.8=100%
2) x=52.1%
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:
3.8/x=100%/52.1%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 52.1% of 3.8

3.8/x=100/52.1
(3.8/x)*x=(100/52.1)*x       - we multiply both sides of the equation by x
3.8=1.9193857965451*x       - we divide both sides of the equation by (1.9193857965451) to get x
3.8/1.9193857965451=x
1.9798=x
x=1.9798

now we have:
52.1% of 3.8=1.9798