What is 19.1 percent of 2.38 - 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 2.38 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 2.38 is 100%, so we can write it down as 2.38=100%.
4. We know, that x is 19.1% of the output value, so we can write it down as x=19.1%.
5. Now we have two simple equations:
1) 2.38=100%
2) x=19.1%
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:
2.38/x=100%/19.1%
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 19.1% of 2.38

2.38/x=100/19.1
(2.38/x)*x=(100/19.1)*x       - we multiply both sides of the equation by x
2.38=5.2356020942408*x       - we divide both sides of the equation by (5.2356020942408) to get x
2.38/5.2356020942408=x
0.45458=x
x=0.45458

now we have:
19.1% of 2.38=0.45458